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 ) -accretive mappings and define resolvent...

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

Computers and Mathematics with Applications, ISSN 0898-1221, 2006, Volume 51, Issue 9, pp. 1529 - 1538

In this paper, we introduce a new concept of ( A, η)-accretive mappings, which generalizes the existing monotone or accretive operators. We study some...

Convergence and stability | Perturbed iterative algorithm with mixed errors | Resolvent operator technique | Nonlinear variational inclusion with relaxed Cocoercive mapping | ( A, η)-accretive mapping | (A, η)-accretive mapping | nonlinear variational inclusion with relaxed cocoercive mapping | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | perturbed iterative algorithm with mixed errors | INEQUALITIES | resolvent operator technique | ALGORITHM | convergence and stability | (A, eta)-accretive mapping | Algorithms

Convergence and stability | Perturbed iterative algorithm with mixed errors | Resolvent operator technique | Nonlinear variational inclusion with relaxed Cocoercive mapping | ( A, η)-accretive mapping | (A, η)-accretive mapping | nonlinear variational inclusion with relaxed cocoercive mapping | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | perturbed iterative algorithm with mixed errors | INEQUALITIES | resolvent operator technique | ALGORITHM | convergence and stability | (A, eta)-accretive mapping | Algorithms

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2007, Volume 67, Issue 8, pp. 2350 - 2360

In this paper, to find a common fixed point of a family of nonexpansive mappings, we introduce a Halpern type iterative sequence. Then we prove that such a...

Halpern type iteration | Strong convergence | Nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED | RESOLVENTS | nonexpansive mapping | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | strong convergence

Halpern type iteration | Strong convergence | Nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED | RESOLVENTS | nonexpansive mapping | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | strong convergence

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 22

In a real uniformly convex and p-uniformly smooth Banach space, a modified forward-backward splitting iterative algorithm is presented, where the computational...

p -uniformly smooth Banach space | γ i $\gamma_{i}$ -strongly accretive mapping | perturbed operator | Analysis | μ i $\mu_{i}$ -strictly pseudo-contractive mapping | Mathematics, general | Mathematics | Applications of Mathematics | θ i $\theta_{i}$ -inversely strongly accretive mapping | strictly pseudo-contractive mapping | p-uniformly smooth Banach space | strongly accretive mapping | inversely strongly accretive mapping | theta(i)-inversely strongly accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | gamma(i)-strongly accretive mapping | mu(i)-strictly pseudo-contractive mapping | ALGORITHMS | OPERATORS | Operators (mathematics) | Splitting | Proving | Inequalities | Iterative algorithms | Queuing theory | Iterative methods | Banach space | Superposition (mathematics) | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\theta_{i}$\end{document}θi-inversely strongly accretive mapping | Research | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mu_{i}$\end{document}μi-strictly pseudo-contractive mapping | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\gamma_{i}$\end{document}γi-strongly accretive mapping

p -uniformly smooth Banach space | γ i $\gamma_{i}$ -strongly accretive mapping | perturbed operator | Analysis | μ i $\mu_{i}$ -strictly pseudo-contractive mapping | Mathematics, general | Mathematics | Applications of Mathematics | θ i $\theta_{i}$ -inversely strongly accretive mapping | strictly pseudo-contractive mapping | p-uniformly smooth Banach space | strongly accretive mapping | inversely strongly accretive mapping | theta(i)-inversely strongly accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | gamma(i)-strongly accretive mapping | mu(i)-strictly pseudo-contractive mapping | ALGORITHMS | OPERATORS | Operators (mathematics) | Splitting | Proving | Inequalities | Iterative algorithms | Queuing theory | Iterative methods | Banach space | Superposition (mathematics) | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\theta_{i}$\end{document}θi-inversely strongly accretive mapping | Research | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mu_{i}$\end{document}μi-strictly pseudo-contractive mapping | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\gamma_{i}$\end{document}γi-strongly accretive mapping

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2014, Volume 366, Issue 8, pp. 4299 - 4322

-hyperbolic spaces, Busemann spaces and CAT(0) spaces. Furthermore, we apply methods of proof mining to obtain effective rates of asymptotic regularity for the...

Social classes | Mathematical monotonicity | Normed spaces | Applied mathematics | Diagonal lemma | Geodesy | Hilbert spaces | Convexity | Banach space | Curvature | Firmly nonexpansive mappings | Picard iterates | Proof mining | Geodesic spaces | Asymptotic regularity | Effective bounds | Δ-convergence | Minimization problems | Uniform convexity | proof mining | geodesic spaces | MONOTONE VECTOR-FIELDS | ACCRETIVE-OPERATORS | PROXIMAL POINT ALGORITHM | uniform convexity | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | NONLINEAR OPERATORS | Delta-convergence | ITERATIONS | REGULARITY | THEOREMS | asymptotic regularity | SETS | CONVERGENCE | minimization problems | effective bounds

Social classes | Mathematical monotonicity | Normed spaces | Applied mathematics | Diagonal lemma | Geodesy | Hilbert spaces | Convexity | Banach space | Curvature | Firmly nonexpansive mappings | Picard iterates | Proof mining | Geodesic spaces | Asymptotic regularity | Effective bounds | Δ-convergence | Minimization problems | Uniform convexity | proof mining | geodesic spaces | MONOTONE VECTOR-FIELDS | ACCRETIVE-OPERATORS | PROXIMAL POINT ALGORITHM | uniform convexity | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | NONLINEAR OPERATORS | Delta-convergence | ITERATIONS | REGULARITY | THEOREMS | asymptotic regularity | SETS | CONVERGENCE | minimization problems | effective bounds

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 20

Two new ergodic convergence theorems for approximating the common element of the set of zero points of an m-accretive mapping and the set of fixed points of an...

non-expansive mapping | Mathematics | m -accretive mapping | smooth Banach space | 47H10 | ergodic convergence | retraction | Analysis | 47H09 | Mathematics, general | contraction | Applications of Mathematics | 47H05 | m-accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | GENERAL ITERATIVE METHOD | OPERATORS | Theorems | Approximation | Computation | Inequalities | Mapping | Banach space | Ergodic processes | Convergence

non-expansive mapping | Mathematics | m -accretive mapping | smooth Banach space | 47H10 | ergodic convergence | retraction | Analysis | 47H09 | Mathematics, general | contraction | Applications of Mathematics | 47H05 | m-accretive mapping | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | GENERAL ITERATIVE METHOD | OPERATORS | Theorems | Approximation | Computation | Inequalities | Mapping | Banach space | Ergodic processes | Convergence

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 209, Issue 2, pp. 162 - 176

Let X be a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm. First purpose of this paper is to introduce a modified...

Strong convergence | Uniformly Gâteaux differentiable norm | Modified implicit iterative scheme with perturbed mapping | Pseudocontractive mapping | Reflexive and strictly convex Banach space | Modified viscosity iterative process with perturbed mapping | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FINITE FAMILY | THEOREMS | ACCRETIVE-OPERATORS | Analysis | Algorithms

Strong convergence | Uniformly Gâteaux differentiable norm | Modified implicit iterative scheme with perturbed mapping | Pseudocontractive mapping | Reflexive and strictly convex Banach space | Modified viscosity iterative process with perturbed mapping | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | FINITE FAMILY | THEOREMS | ACCRETIVE-OPERATORS | Analysis | Algorithms

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2008, Volume 69, Issue 12, pp. 4732 - 4753

The purpose of this paper is to investigate the asymptotic behavior of algorithms for finding solutions for a certain class of variational inequalities V I D (...

Uniformly Gâteaux differentiable norm | Pseudocontractive mapping | Variational inequality | Weakly contraction | MATHEMATICS | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | RESOLVENTS | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | MONOTONE-OPERATORS | FIXED-POINTS | ZEROS | Analysis | Algorithms

Uniformly Gâteaux differentiable norm | Pseudocontractive mapping | Variational inequality | Weakly contraction | MATHEMATICS | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | RESOLVENTS | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | MONOTONE-OPERATORS | FIXED-POINTS | ZEROS | Analysis | Algorithms

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 224, Issue 2, pp. 614 - 621

In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive...

Fixed point problem | Monotone mapping | Equilibrium problem | Variational inequality | Accretive operator | Nonexpansive mapping | MATHEMATICS, APPLIED | APPROXIMATION

Fixed point problem | Monotone mapping | Equilibrium problem | Variational inequality | Accretive operator | Nonexpansive mapping | MATHEMATICS, APPLIED | APPROXIMATION

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 22

Journal Article

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

In this paper, we introduce and study a new class of generalized nonlinear random ( A , η ) -accretive equations with random relaxed cocoercive mappings in...

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

Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 6/2018, Volume 42, Issue 2, pp. 787 - 792

In this paper, we study the notions of accretive operators, contraction mappings, non-expansive mappings using the idea of n (>1)-normed structures for some...

Yosida’s approximation | Materials Science, general | n -Normed space | Earth Sciences, general | Resolvent operator | q -Series | Engineering | Contraction mapping | q -Genocchi polynomials with weight zero | Frobenius–Euler polynomials | Life Sciences, general | Chemistry/Food Science, general | Engineering, general | Physics, general | Non-expansive mapping | Accretive operator | Fixed point | n-Normed space | q-Series | q-Genocchi polynomials with weight zero | Construction | Operators | Polynomials | Contraction | Weight

Yosida’s approximation | Materials Science, general | n -Normed space | Earth Sciences, general | Resolvent operator | q -Series | Engineering | Contraction mapping | q -Genocchi polynomials with weight zero | Frobenius–Euler polynomials | Life Sciences, general | Chemistry/Food Science, general | Engineering, general | Physics, general | Non-expansive mapping | Accretive operator | Fixed point | n-Normed space | q-Series | q-Genocchi polynomials with weight zero | Construction | Operators | Polynomials | Contraction | Weight

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 217, Issue 23, pp. 9679 - 9688

In this paper, we consider a class of accretive mappings called generalized H(·, ·)-accretive mappings in Banach spaces. We prove that the proximal-point...

Convergence criteria | Generalized H(·, ·)-accretive mapping | Iterative algorithm | System of generalized variational inclusions | Proximal-point mapping method | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | Generalized H(.,.)-accretive mapping | RESOLVENT OPERATOR TECHNIQUE | Algorithms

Convergence criteria | Generalized H(·, ·)-accretive mapping | Iterative algorithm | System of generalized variational inclusions | Proximal-point mapping method | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | INEQUALITIES | Generalized H(.,.)-accretive mapping | RESOLVENT OPERATOR TECHNIQUE | Algorithms

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 15

In this paper, we investigate the problem of finding some common element in the set of common fixed points of an infinite family of nonexpansive mappings and...

inverse-strongly monotone mapping | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | Applications of Mathematics | Topology | projection | Differential Geometry | strong convergence | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIONS | ACCRETIVE-OPERATORS | MATHEMATICS | COMMON FIXED-POINTS | BANACH-SPACES | THEOREMS | OPTIMIZATION | EQUILIBRIUM PROBLEMS | PROJECTION ALGORITHMS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

inverse-strongly monotone mapping | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | Applications of Mathematics | Topology | projection | Differential Geometry | strong convergence | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIONS | ACCRETIVE-OPERATORS | MATHEMATICS | COMMON FIXED-POINTS | BANACH-SPACES | THEOREMS | OPTIMIZATION | EQUILIBRIUM PROBLEMS | PROJECTION ALGORITHMS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2009, Volume 10, Issue 4, pp. 2369 - 2383

Perturbation techniques for nonexpansive mappings are studied. An iterative algorithm involving perturbed mappings in a Banach space is proposed and proved to...

Multiple-sets split feasibility problem | Duality map | Projection | Iterative algorithm | Split feasibility problem | Perturbation | Accretive operator | Nonexpansive mapping | Sunny nonexpansive retraction | Fixed point | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE ALGORITHMS | THEOREMS | FIXED-POINTS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Methods | Algorithms

Multiple-sets split feasibility problem | Duality map | Projection | Iterative algorithm | Split feasibility problem | Perturbation | Accretive operator | Nonexpansive mapping | Sunny nonexpansive retraction | Fixed point | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE ALGORITHMS | THEOREMS | FIXED-POINTS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Methods | Algorithms

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 215, Issue 2, pp. 716 - 726

In this paper, using the concept of P - η -proximal-point mapping introduced by Kazmi and Bhat [11], we study the existence and sensitivity analysis of the...

System of parametric general quasi-variational-like inequality problems | Strongly [formula omitted]-monotone mappings | Mixed Lipschitz continuous mappings | [formula omitted]- [formula omitted]-proximal-point mappings | Strongly accretive mappings | [formula omitted]-Lipschitz continuous mappings | Strongly η-monotone mappings | P-η-proximal-point mappings | H-Lipschitz continuous mappings | MATHEMATICS, APPLIED | INCLUSIONS | Strongly eta-monotone mappings | STABILITY | MAPPINGS | P-eta-proximal-point mappings | ALGORITHMS | Analysis | Equality

System of parametric general quasi-variational-like inequality problems | Strongly [formula omitted]-monotone mappings | Mixed Lipschitz continuous mappings | [formula omitted]- [formula omitted]-proximal-point mappings | Strongly accretive mappings | [formula omitted]-Lipschitz continuous mappings | Strongly η-monotone mappings | P-η-proximal-point mappings | H-Lipschitz continuous mappings | MATHEMATICS, APPLIED | INCLUSIONS | Strongly eta-monotone mappings | STABILITY | MAPPINGS | P-eta-proximal-point mappings | ALGORITHMS | Analysis | Equality

Journal Article

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

In this paper, by using the new parametric resolvent operator technique associated with ( A , η ) -accretive mappings, we analyze and establish an existence...

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

SIAM Journal on Control and Optimization, ISSN 0363-0129, 2012, Volume 50, Issue 4, pp. 2335 - 2354

We study in this paper the existence and the approximation of solutions of variational inequalities involving generalized pseudocontractive mappings in Banach...

Nearly Lipschitzian mapping | φ-strongly pseudocontractive mapping | Generalized φ-pseudocontractive mapping | Viscosity approximation method | Variational inequalities | MATHEMATICS, APPLIED | nearly Lipschitzian mapping | NONEXPANSIVE-MAPPINGS | DIFFERENTIAL-EQUATIONS | ACCRETIVE-OPERATORS | COUNTABLE FAMILY | FIXED-POINT THEOREM | STRONG-CONVERGENCE THEOREMS | phi-strongly pseudocontractive mapping | variational inequalities | SEMIGROUP | viscosity approximation method | STEEPEST-DESCENT METHODS | generalized phi-pseudocontractive mapping | VISCOSITY APPROXIMATION METHODS | PSEUDO-CONTRACTIVE MAPPINGS | AUTOMATION & CONTROL SYSTEMS | Approximation | Mathematical analysis | Inequalities | Norms | Mapping | Banach space | Iterative methods | Convergence

Nearly Lipschitzian mapping | φ-strongly pseudocontractive mapping | Generalized φ-pseudocontractive mapping | Viscosity approximation method | Variational inequalities | MATHEMATICS, APPLIED | nearly Lipschitzian mapping | NONEXPANSIVE-MAPPINGS | DIFFERENTIAL-EQUATIONS | ACCRETIVE-OPERATORS | COUNTABLE FAMILY | FIXED-POINT THEOREM | STRONG-CONVERGENCE THEOREMS | phi-strongly pseudocontractive mapping | variational inequalities | SEMIGROUP | viscosity approximation method | STEEPEST-DESCENT METHODS | generalized phi-pseudocontractive mapping | VISCOSITY APPROXIMATION METHODS | PSEUDO-CONTRACTIVE MAPPINGS | AUTOMATION & CONTROL SYSTEMS | Approximation | Mathematical analysis | Inequalities | Norms | Mapping | Banach space | Iterative methods | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2012, Volume 75, Issue 1, pp. 153 - 162

A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is...

Reflexive Banach spaces | Accretive mappings | Uniformly Gâteaux differentiable norm | Pseudocontractive operators | Uniformly Gteaux differentiable norm | MATHEMATICS | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | APPROXIMATION | MONOTONE | EQUATIONS | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS | Operators | Theorems | Approximation | Nonlinearity | Mapping | Iterative methods | Convergence

Reflexive Banach spaces | Accretive mappings | Uniformly Gâteaux differentiable norm | Pseudocontractive operators | Uniformly Gteaux differentiable norm | MATHEMATICS | Uniformly Gateaux differentiable norm | MATHEMATICS, APPLIED | APPROXIMATION | MONOTONE | EQUATIONS | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS | Operators | Theorems | Approximation | Nonlinearity | Mapping | Iterative methods | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 17, pp. 6012 - 6023

In this paper we deal with fixed point computational problems by strongly convergent methods involving strictly pseudocontractive mappings in smooth Banach...

[formula omitted]-iteration process | [formula omitted]-strictly pseudocontractive | Metric projection mapping | Uniformly Gâteaux differentiable norm | Strongly pseudocontractive | Uniformly Gteaux differentiable norm | S-iteration process | λ-strictly pseudocontractive | FEASIBILITY PROBLEMS | HILBERT-SPACES | MATHEMATICS, APPLIED | APPROXIMATION | ACCRETIVE-OPERATORS | VARIATIONAL-INEQUALITIES | MATHEMATICS | Uniformly Gateaux differentiable norm | RESOLVENTS | THEOREMS | lambda-strictly pseudocontractive | WEAKLY CONTRACTIVE MAPS | PSEUDO-CONTRACTIONS | FIXED-POINTS | Theorems | Mathematical analysis | Steepest descent method | Inequalities | Nonlinearity | Mapping | Banach space | Convergence

[formula omitted]-iteration process | [formula omitted]-strictly pseudocontractive | Metric projection mapping | Uniformly Gâteaux differentiable norm | Strongly pseudocontractive | Uniformly Gteaux differentiable norm | S-iteration process | λ-strictly pseudocontractive | FEASIBILITY PROBLEMS | HILBERT-SPACES | MATHEMATICS, APPLIED | APPROXIMATION | ACCRETIVE-OPERATORS | VARIATIONAL-INEQUALITIES | MATHEMATICS | Uniformly Gateaux differentiable norm | RESOLVENTS | THEOREMS | lambda-strictly pseudocontractive | WEAKLY CONTRACTIVE MAPS | PSEUDO-CONTRACTIONS | FIXED-POINTS | Theorems | Mathematical analysis | Steepest descent method | Inequalities | Nonlinearity | Mapping | Banach space | Convergence

Journal Article

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