Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 55, Issue 9, pp. 2173 - 2182

... ) -accretive equations with random relaxed cocoercive mappings in Banach spaces. By using the Chang’s lemma and the resolvent mapping technique for ( A , η...

Random iterative algorithm | Existence and convergence | Generalized nonlinear random [formula omitted]-accretive equation | [formula omitted]-uniformly smooth Banach space | Random relaxed cocoercive mapping | q-uniformly smooth Banach space | Generalized nonlinear random (A, η)-accretive equation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM FUZZY MAPPINGS | INCLUSIONS | QUASI-VARIATIONAL INEQUALITIES | random relaxed cocoercive mapping | random iterative algorithm | generalized nonlinear random (A, eta)-accretive equation | existence and convergence | Mathematical analysis | Nonlinearity | Mapping | Mathematical models | Banach space | Iterative methods | Local area networks | Convergence

Random iterative algorithm | Existence and convergence | Generalized nonlinear random [formula omitted]-accretive equation | [formula omitted]-uniformly smooth Banach space | Random relaxed cocoercive mapping | q-uniformly smooth Banach space | Generalized nonlinear random (A, η)-accretive equation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM FUZZY MAPPINGS | INCLUSIONS | QUASI-VARIATIONAL INEQUALITIES | random relaxed cocoercive mapping | random iterative algorithm | generalized nonlinear random (A, eta)-accretive equation | existence and convergence | Mathematical analysis | Nonlinearity | Mapping | Mathematical models | Banach space | Iterative methods | Local area networks | Convergence

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 9, pp. 2305 - 2311

In this paper, we introduce and study a new system of ( A , η ) -accretive mapping inclusions in Banach spaces...

System of [formula omitted]-accretive mapping inclusions | Convergence and stability | Iterative algorithm | Relaxed cocoercive mapping | Resolvent operator technique | [formula omitted]-accretive mapping | (A, η)-accretive mapping | System of (A, η)-accretive mapping inclusions | DIFFERENTIAL-INCLUSIONS | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | PERTURBED ALGORITHM | MANN | NONLINEAR VARIATIONAL-INEQUALITIES | (A, eta)-accretive mapping | System of (A, eta)-accretive mapping inclusions | Algorithms | Stability | Inequalities | Mapping | Mathematical models | Banach space | Inclusions | Convergence

System of [formula omitted]-accretive mapping inclusions | Convergence and stability | Iterative algorithm | Relaxed cocoercive mapping | Resolvent operator technique | [formula omitted]-accretive mapping | (A, η)-accretive mapping | System of (A, η)-accretive mapping inclusions | DIFFERENTIAL-INCLUSIONS | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | PERTURBED ALGORITHM | MANN | NONLINEAR VARIATIONAL-INEQUALITIES | (A, eta)-accretive mapping | System of (A, eta)-accretive mapping inclusions | Algorithms | Stability | Inequalities | Mapping | Mathematical models | Banach space | Inclusions | Convergence

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2007, Volume 54, Issue 4, pp. 579 - 588

... ) -accretive mappings in Banach spaces. By using the resolvent operator associated with ( A , η ) -accretive mappings, we construct some new iterative algorithms for approximating the solution of this system of variational inclusions...

System of nonlinear variational inclusions | Iterative algorithm | Resolvent operator technique | [formula omitted]-accretive mapping | Convergence | (A, η)-accretive mapping | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INEQUALITIES | resolvent operator technique | convergence | PERTURBED ALGORITHM | MANN | system of nonlinear variational inclusions | (A, eta)-accretive mapping | iterative algorithm | Algorithms | Approximation | Nonlinearity | Iterative algorithms | Mapping | Mathematical models | Banach space | Inclusions

System of nonlinear variational inclusions | Iterative algorithm | Resolvent operator technique | [formula omitted]-accretive mapping | Convergence | (A, η)-accretive mapping | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INEQUALITIES | resolvent operator technique | convergence | PERTURBED ALGORITHM | MANN | system of nonlinear variational inclusions | (A, eta)-accretive mapping | iterative algorithm | Algorithms | Approximation | Nonlinearity | Iterative algorithms | Mapping | Mathematical models | Banach space | Inclusions

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 1, pp. 290 - 303

In this paper, by using the concept of ( A , η ) -accretive mappings and the new resolvent operator technique associated with ( A , η...

Convergence and stability | Perturbed iterative algorithm with mixed errors | Resolvent operator technique | A system of general mixed quasivariational inclusions | [formula omitted]-accretive mapping | (A, η)-accretive mapping | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | a system of general mixed quasivariational inclusions | perturbed iterative algorithm with mixed errors | INEQUALITIES | resolvent operator technique | MAPPINGS | convergence and stability | (A, eta)-accretive mapping | OPERATORS | Algorithms | Operators | Error analysis | Stability | Nonlinearity | Mapping | Mathematical models | Banach space | Inclusions

Convergence and stability | Perturbed iterative algorithm with mixed errors | Resolvent operator technique | A system of general mixed quasivariational inclusions | [formula omitted]-accretive mapping | (A, η)-accretive mapping | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | a system of general mixed quasivariational inclusions | perturbed iterative algorithm with mixed errors | INEQUALITIES | resolvent operator technique | MAPPINGS | convergence and stability | (A, eta)-accretive mapping | OPERATORS | Algorithms | Operators | Error analysis | Stability | Nonlinearity | Mapping | Mathematical models | Banach space | Inclusions

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2006, Volume 188, Issue 1, pp. 1 - 11

In this paper, we introduce and study a class of generalized quasi-variational-like inclusions with fuzzy mappings in real Banach spaces and show its equivalence with a class of relations...

Iterative algorithm | Strongly [formula omitted]-accretive mapping | [formula omitted]-proximal point mapping | Fuzzy mappings | Generalized quasi-variational-like inclusion | [formula omitted]- [formula omitted]-accretive mapping | η-proximal point mapping | Strongly η-accretive mapping | m-η-accretive mapping | m-q-accretive mapping | MATHEMATICS, APPLIED | INEQUALITIES | PERTURBED ALGORITHM | PROXIMAL POINT ALGORITHMS | generalized quasi-variational-like inclusion | eta-proximal point mapping | fuzzy mappings | iterative algorithm | strongly eta-accretive mapping | Analysis | Algorithms

Iterative algorithm | Strongly [formula omitted]-accretive mapping | [formula omitted]-proximal point mapping | Fuzzy mappings | Generalized quasi-variational-like inclusion | [formula omitted]- [formula omitted]-accretive mapping | η-proximal point mapping | Strongly η-accretive mapping | m-η-accretive mapping | m-q-accretive mapping | MATHEMATICS, APPLIED | INEQUALITIES | PERTURBED ALGORITHM | PROXIMAL POINT ALGORITHMS | generalized quasi-variational-like inclusion | eta-proximal point mapping | fuzzy mappings | iterative algorithm | strongly eta-accretive mapping | Analysis | Algorithms

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2009, Volume 50, Issue 7, pp. 1026 - 1032

... of solving a general class of nonlinear inclusion problems is examined along with some other results of interest involving A -maximal-relaxed accretive mappings in a real...

[formula omitted]-maximal accretive mapping | Maximal-relaxed accretive mapping | Generalized resolvent operator | Variational inclusions | A-maximal accretive mapping | SYSTEM | MATHEMATICS, APPLIED | INCLUSIONS INVOLVING (A | SENSITIVITY-ANALYSIS | SPLITTING METHOD | Algorithms

[formula omitted]-maximal accretive mapping | Maximal-relaxed accretive mapping | Generalized resolvent operator | Variational inclusions | A-maximal accretive mapping | SYSTEM | MATHEMATICS, APPLIED | INCLUSIONS INVOLVING (A | SENSITIVITY-ANALYSIS | SPLITTING METHOD | Algorithms

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 60, Issue 11, pp. 2953 - 2970

... -accretive mappings due to Lan et al., we establish the existence and uniqueness of solution for this system of extended generalized nonlinear mixed quasi-variational inclusions and construct a new perturbed N -step iterative algorithm...

[formula omitted]-maximal [formula omitted]-relaxed [formula omitted]-accretive | Resolvent operator technique | [formula omitted]-uniformly smooth Banach spaces | Variational convergence | Perturbed [formula omitted]-step iterative algorithm with mixed errors | Extended generalized nonlinear mixed quasi-variational inclusions | Perturbed N-step iterative algorithm with mixed errors | A-maximal m-relaxed η-accretive | q-uniformly smooth Banach spaces | PRODUCT SETS | HILBERT-SPACES | MATHEMATICS, APPLIED | INEQUALITIES | ERRORS | A-maximal m-relaxed eta-accretive | PROJECTION METHODS | H-ACCRETIVE OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BANACH-SPACES | SENSITIVITY-ANALYSIS | MAPPINGS | CONVERGENCE | Algorithms | Mathematical analysis | Nonlinearity | Iterative algorithms | Mapping | Mathematical models | Banach space | Inclusions | Local area networks | Convergence

[formula omitted]-maximal [formula omitted]-relaxed [formula omitted]-accretive | Resolvent operator technique | [formula omitted]-uniformly smooth Banach spaces | Variational convergence | Perturbed [formula omitted]-step iterative algorithm with mixed errors | Extended generalized nonlinear mixed quasi-variational inclusions | Perturbed N-step iterative algorithm with mixed errors | A-maximal m-relaxed η-accretive | q-uniformly smooth Banach spaces | PRODUCT SETS | HILBERT-SPACES | MATHEMATICS, APPLIED | INEQUALITIES | ERRORS | A-maximal m-relaxed eta-accretive | PROJECTION METHODS | H-ACCRETIVE OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BANACH-SPACES | SENSITIVITY-ANALYSIS | MAPPINGS | CONVERGENCE | Algorithms | Mathematical analysis | Nonlinearity | Iterative algorithms | Mapping | Mathematical models | Banach space | Inclusions | Local area networks | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 12, pp. e346 - e350

This paper introduces an iteration scheme for viscosity approximation of a zero of accretive operator in a reflexive Banach space with weakly continuous duality mapping...

Reflexive Banach space | [formula omitted]-accretive operator | Weakly continuous duality mapping | Nonexpansive mapping | Fixed point | m-accretive operator | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | NONEXPANSIVE-MAPPINGS | VISCOSITY APPROXIMATION | Viscosity | Operators | Algorithms | Approximation | Mathematical analysis | Nonlinearity | Banach space | Convergence

Reflexive Banach space | [formula omitted]-accretive operator | Weakly continuous duality mapping | Nonexpansive mapping | Fixed point | m-accretive operator | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | NONEXPANSIVE-MAPPINGS | VISCOSITY APPROXIMATION | Viscosity | Operators | Algorithms | Approximation | Mathematical analysis | Nonlinearity | Banach space | Convergence

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2010, Volume 234, Issue 1, pp. 21 - 33

... ) -accretive operators and relaxed cocoercive mappings which contains variational inequalities, variational inclusions, systems of variational inequalities, systems of variational-like inequalities...

[formula omitted]-step iterative algorithm | [formula omitted]-accretive operator | Relaxed cocoercive mapping | System of generalized mixed quasi-variational-like inclusions | Existence | Convergence | (A, η, m)-accretive operator | p-step iterative algorithm | MATHEMATICS, APPLIED | INEQUALITIES | PROJECTION METHODS | (A, eta, m)-accretive operator | SENSITIVITY-ANALYSIS | SMOOTH BANACH-SPACES | EQUILIBRIUM CONSTRAINTS | STEP ITERATIVE ALGORITHM | OPTIMIZATION | (H,ETA)-MONOTONE OPERATORS | ACCRETIVE OPERATORS

[formula omitted]-step iterative algorithm | [formula omitted]-accretive operator | Relaxed cocoercive mapping | System of generalized mixed quasi-variational-like inclusions | Existence | Convergence | (A, η, m)-accretive operator | p-step iterative algorithm | MATHEMATICS, APPLIED | INEQUALITIES | PROJECTION METHODS | (A, eta, m)-accretive operator | SENSITIVITY-ANALYSIS | SMOOTH BANACH-SPACES | EQUILIBRIUM CONSTRAINTS | STEP ITERATIVE ALGORITHM | OPTIMIZATION | (H,ETA)-MONOTONE OPERATORS | ACCRETIVE OPERATORS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 5, pp. 1414 - 1422

This paper introduces a new class of generalized nonlinear quasi-variational inclusions involving generalized m -accretive mappings in p -uniformly smooth real Banach spaces...

[formula omitted]-uniformly smooth real Banach spaces | Relaxed accretive mapping | Resolvent operator | Generalized nonlinear quasi-variational inclusions | Generalized [formula omitted]-accretive mapping | Hausdorff metric | Strongly accretive mapping | Generalized m-accretive mapping | p-uniformly smooth real Banach spaces | MATHEMATICS, APPLIED | RESOLVENT EQUATIONS | INEQUALITIES | strongly accretive mapping | resolvent operator | NONCOMPACT VALUED MAPPINGS | relaxed accretive mapping | ALGORITHMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | generalized nonlinear quasi-variational inclusions | generalized m-accretive mapping | Resins, Fossil | Algorithms | China | Nonlinearity | Mapping | Mathematical models | Soft computing | Banach space | Inclusions | Convergence

[formula omitted]-uniformly smooth real Banach spaces | Relaxed accretive mapping | Resolvent operator | Generalized nonlinear quasi-variational inclusions | Generalized [formula omitted]-accretive mapping | Hausdorff metric | Strongly accretive mapping | Generalized m-accretive mapping | p-uniformly smooth real Banach spaces | MATHEMATICS, APPLIED | RESOLVENT EQUATIONS | INEQUALITIES | strongly accretive mapping | resolvent operator | NONCOMPACT VALUED MAPPINGS | relaxed accretive mapping | ALGORITHMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | generalized nonlinear quasi-variational inclusions | generalized m-accretive mapping | Resins, Fossil | Algorithms | China | Nonlinearity | Mapping | Mathematical models | Soft computing | Banach space | Inclusions | Convergence

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 03/2015, Volume 69, Issue 5, pp. 374 - 389

.... The method used involves result on surjection of the sums of ranges of m-accretive mappings and strongly accretive mappings...

Maximal monotone operator | Nonlinear integro-differential systems | [formula omitted]-accretive mapping | Strongly accretive mapping | Strongly accretive mapping m-accretive mapping | MATHEMATICS, APPLIED | RANGES | GENERALIZED P-LAPLACIAN | BOUNDARY-VALUE-PROBLEMS | ACCRETIVE-OPERATORS | m-accretive mapping | SUMS | Mathematical analysis | Uniqueness | Nonlinearity | Mathematical models | Complement | Mapping | Sums

Maximal monotone operator | Nonlinear integro-differential systems | [formula omitted]-accretive mapping | Strongly accretive mapping | Strongly accretive mapping m-accretive mapping | MATHEMATICS, APPLIED | RANGES | GENERALIZED P-LAPLACIAN | BOUNDARY-VALUE-PROBLEMS | ACCRETIVE-OPERATORS | m-accretive mapping | SUMS | Mathematical analysis | Uniqueness | Nonlinearity | Mathematical models | Complement | Mapping | Sums

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2014, Volume 272, pp. 1 - 7

In this paper, using the properties of graph convergence of H(⋅,⋅)-accretive operators, we construct a perturbed algorithm for solving systems of ill-posed variational inclusions involving H...

A system of variational inclusions | Resolvent operator | Perturbed algorithm | [formula omitted]-accretive operator | Graph convergence | H (., .) -accretive operator | MATHEMATICS, APPLIED | H(.,.)-ACCRETIVE OPERATOR | CONVERGENCE | MAPPINGS | H(center dot, center dot)-accretive operator | ITERATIVE ALGORITHM | (H,ETA)-MONOTONE OPERATORS | ACCRETIVE OPERATORS | Analysis | Algorithms

A system of variational inclusions | Resolvent operator | Perturbed algorithm | [formula omitted]-accretive operator | Graph convergence | H (., .) -accretive operator | MATHEMATICS, APPLIED | H(.,.)-ACCRETIVE OPERATOR | CONVERGENCE | MAPPINGS | H(center dot, center dot)-accretive operator | ITERATIVE ALGORITHM | (H,ETA)-MONOTONE OPERATORS | ACCRETIVE OPERATORS | Analysis | Algorithms

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 204, Issue 2, pp. 809 - 816

In this paper, a new H ( · , · ) -accretive operator is introduced in Banach spaces and the Lipschitzian continuity of the resolvent operator for the H...

Iterative algorithm | Resolvent operator | [formula omitted]-accretive operator | Variational inclusion | Convergence | H (·, ·)-accretive operator | MATHEMATICS, APPLIED | H(.,.)-accretive operator | MAPPINGS | Algorithms

Iterative algorithm | Resolvent operator | [formula omitted]-accretive operator | Variational inclusion | Convergence | H (·, ·)-accretive operator | MATHEMATICS, APPLIED | H(.,.)-accretive operator | MAPPINGS | Algorithms

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 2007, Volume 20, Issue 5, pp. 571 - 577

In this work, we introduce a new concept of ( A , η ) -accretive mappings, study some properties of ( A , η...

Set-valued variational inclusion with relaxed cocoercive mapping | Existence and convergence | Iterative algorithm | [formula omitted]-Accretive mapping | Resolvent operator technique | (A, η)-Accretive mapping | SYSTEM | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | resolvent operator technique | set-valued variational inclusion with relaxed cocoercive mapping | iterativealgorithm | ITERATIVE ALGORITHM | (A, eta)-accretive mapping | existence and convergence | Algorithms

Set-valued variational inclusion with relaxed cocoercive mapping | Existence and convergence | Iterative algorithm | [formula omitted]-Accretive mapping | Resolvent operator technique | (A, η)-Accretive mapping | SYSTEM | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | resolvent operator technique | set-valued variational inclusion with relaxed cocoercive mapping | iterativealgorithm | ITERATIVE ALGORITHM | (A, eta)-accretive mapping | existence and convergence | Algorithms

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 1, pp. 531 - 538

... -inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family...

[formula omitted]-inverse strongly accretive mappings | Uniformly Gâteaux differentiable norm | Strictly pseudocontractive mappings | Normalized duality mappings | Nonexpansive mappings | Strictly convex spaces | α-inverse strongly accretive mappings | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | alpha-inverse strongly accretive mappings | MATHEMATICS | Uniformly Gateaux differentiable norm | RESOLVENTS | MAPS | BANACH-SPACES | HILBERT-SPACE | PSEUDO-CONTRACTIVE MAPPINGS | OPERATORS | FIXED-POINTS

[formula omitted]-inverse strongly accretive mappings | Uniformly Gâteaux differentiable norm | Strictly pseudocontractive mappings | Normalized duality mappings | Nonexpansive mappings | Strictly convex spaces | α-inverse strongly accretive mappings | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | alpha-inverse strongly accretive mappings | MATHEMATICS | Uniformly Gateaux differentiable norm | RESOLVENTS | MAPS | BANACH-SPACES | HILBERT-SPACE | PSEUDO-CONTRACTIVE MAPPINGS | OPERATORS | FIXED-POINTS

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 203, Issue 1, pp. 80 - 86

In this paper, we consider a system of nonlinear variational inclusions involving H -accretive operators studied by Huang and Fang in q -uniformly smooth Banach spaces...

Iterative algorithm | [formula omitted]-accretive operator mapping | Resolvent operator technique | [formula omitted]-uniformly smooth space | A system of nonlinear variational inclusions | H-accretive operator mapping | q-uniformly smooth space | SYSTEM | MATHEMATICS, APPLIED | resolvent operator technique | ALGORITHM | a system of nonlinear variational inclusions | MAPPINGS | iterative algorithm | OPERATORS | Analysis | Methods | Algorithms

Iterative algorithm | [formula omitted]-accretive operator mapping | Resolvent operator technique | [formula omitted]-uniformly smooth space | A system of nonlinear variational inclusions | H-accretive operator mapping | q-uniformly smooth space | SYSTEM | MATHEMATICS, APPLIED | resolvent operator technique | ALGORITHM | a system of nonlinear variational inclusions | MAPPINGS | iterative algorithm | OPERATORS | Analysis | Methods | Algorithms

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2007, Volume 53, Issue 5, pp. 693 - 705

In this paper, we introduce and study a new system of generalized nonlinear mixed quasi-variational inclusions in q -uniformly smooth Banach spaces. We prove...

System of generalized nonlinear mixed quasi-variational inclusions | Strongly [formula omitted]-accretive mapping | Two-step iterative algorithm | [formula omitted]-uniformly smooth Banach space | [formula omitted]-Lipschitz continuous mapping | Existence | q-uniformly smooth Banach space | Strongly r-accretive mapping | μ-Lipschitz continuous mapping | mu-lipschitz continuous mapping | MATHEMATICS, APPLIED | strongly r-accretive mapping | INEQUALITIES | system of generalized nonlinear mixed quasi-variational inclusions | SENSITIVITY-ANALYSIS | existence | two-step iterative algorithm | PROJECTION METHODS | Algorithms | Management science | Errors | Uniqueness | Nonlinearity | Iterative algorithms | Mathematical models | Banach space | Inclusions | Convergence

System of generalized nonlinear mixed quasi-variational inclusions | Strongly [formula omitted]-accretive mapping | Two-step iterative algorithm | [formula omitted]-uniformly smooth Banach space | [formula omitted]-Lipschitz continuous mapping | Existence | q-uniformly smooth Banach space | Strongly r-accretive mapping | μ-Lipschitz continuous mapping | mu-lipschitz continuous mapping | MATHEMATICS, APPLIED | strongly r-accretive mapping | INEQUALITIES | system of generalized nonlinear mixed quasi-variational inclusions | SENSITIVITY-ANALYSIS | existence | two-step iterative algorithm | PROJECTION METHODS | Algorithms | Management science | Errors | Uniqueness | Nonlinearity | Iterative algorithms | Mathematical models | Banach space | Inclusions | Convergence

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2010, Volume 233, Issue 8, pp. 1888 - 1896

.... For solving such class of variational inclusions, we introduce a new notion of B -monotone operator and prove the Lipschitz continuity of the proximal mapping associated with the B -monotone operator...

[formula omitted]-monotone operator | Proximal mapping | Iterative algorithm | Variational inclusion | Convergence | B-monotone operator | SYSTEM | HILBERT-SPACES | A | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | MAPPINGS

[formula omitted]-monotone operator | Proximal mapping | Iterative algorithm | Variational inclusion | Convergence | B-monotone operator | SYSTEM | HILBERT-SPACES | A | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | MAPPINGS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 70, Issue 11, pp. 4086 - 4092

Suppose X is a real q -uniformly smooth Banach space and F , K : X → X are Lipschitz ϕ -strongly accretive maps with D...

Accretive operators | Uniformly continuous multi-valued maps | Duality maps | [formula omitted]-uniformly smooth spaces | q-uniformly smooth spaces | EXISTENCE | MATHEMATICS, APPLIED | INTEGRAL-EQUATIONS | ACCRETIVE-OPERATORS | OPEN QUESTIONS | MONOTONE OPERATORS | EPSILON-X | MATHEMATICS | BANACH-SPACES | MAPPINGS | HILBERT-SPACE | FIXED-POINTS

Accretive operators | Uniformly continuous multi-valued maps | Duality maps | [formula omitted]-uniformly smooth spaces | q-uniformly smooth spaces | EXISTENCE | MATHEMATICS, APPLIED | INTEGRAL-EQUATIONS | ACCRETIVE-OPERATORS | OPEN QUESTIONS | MONOTONE OPERATORS | EPSILON-X | MATHEMATICS | BANACH-SPACES | MAPPINGS | HILBERT-SPACE | FIXED-POINTS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2008, Volume 69, Issue 5, pp. 1757 - 1767

... ) -accretive mappings, we analyze and establish an existence theorem for new nonlinear parametric multi-valued variational inclusion systems involving ( A , η...

Sensitive analysis | Relaxed cocoercive mapping | Nonlinear parametric multi-valued variational inclusion system | Parametric resolvent operator technique | [formula omitted]-accretive mapping | (A, η)-accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | sensitive analysis | SENSITIVITY-ANALYSIS | EQUATIONS | nonlinear parametric multi-valued variational inclusion system | parametric resolvent operator technique | (A, eta)-accretive mapping | relaxed cocoercive mapping

Sensitive analysis | Relaxed cocoercive mapping | Nonlinear parametric multi-valued variational inclusion system | Parametric resolvent operator technique | [formula omitted]-accretive mapping | (A, η)-accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | sensitive analysis | SENSITIVITY-ANALYSIS | EQUATIONS | nonlinear parametric multi-valued variational inclusion system | parametric resolvent operator technique | (A, eta)-accretive mapping | relaxed cocoercive mapping

Journal Article

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