Journal of Inequalities and Applications, ISSN 1025-5834, 2012, Volume 2012

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 6/2011, Volume 15, Issue 3, pp. 961 - 980

Our purpose in this paper is first to prove a weak convergence theorem by Mann's iteration for positively homogeneous nonexpansive mappings in a Banach space...

Banach space | Mathematical theorems | Perceptron convergence procedure | Hybrid method | Mann's iteration | Nonexpansive mapping | Generalized nonexpansive mapping | Fixed point | MAXIMAL MONOTONE-OPERATORS | ACCRETIVE-OPERATORS | MATHEMATICS | NONLINEAR OPERATORS | RESOLVENTS | FAMILIES | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS

Banach space | Mathematical theorems | Perceptron convergence procedure | Hybrid method | Mann's iteration | Nonexpansive mapping | Generalized nonexpansive mapping | Fixed point | MAXIMAL MONOTONE-OPERATORS | ACCRETIVE-OPERATORS | MATHEMATICS | NONLINEAR OPERATORS | RESOLVENTS | FAMILIES | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 70, Issue 4, pp. 1797 - 1802

Under the assumption that E is a reflexive Banach space whose norm is uniformly Gêteaux differentiable and which has a weakly continuous duality mapping J φ...

Non-expansive mappings | Weakly continuous duality mapping | MATHEMATICS | NONLINEAR OPERATORS | SEMIGROUPS | MATHEMATICS, APPLIED | SEQUENCES | BANACH-SPACES | ACCRETIVE-OPERATORS | FIXED-POINTS

Non-expansive mappings | Weakly continuous duality mapping | MATHEMATICS | NONLINEAR OPERATORS | SEMIGROUPS | MATHEMATICS, APPLIED | SEQUENCES | BANACH-SPACES | ACCRETIVE-OPERATORS | FIXED-POINTS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2010, Issue 1, pp. 1 - 17

We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | EQUATIONS | ACCRETIVE-OPERATORS | THEOREM | ZEROS | Fixed point theory | Research | Mappings (Mathematics) | Studies | Mathematical models | Banach spaces

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | EQUATIONS | ACCRETIVE-OPERATORS | THEOREM | ZEROS | Fixed point theory | Research | Mappings (Mathematics) | Studies | Mathematical models | Banach spaces

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 2013, Volume 36, Issue 4, pp. 1049 - 1070

... mixed equilibrium problems and the set of common solutions of the variational inclusion with inverse-strongly accretive mappings in Banach spaces...

Strictly-pseudocontractive mapping | Fixed points | Generalized mixed equilibrium problem | Inversestrongly accretive mapping | Variational inclusion | Nonexpansive mapping | variational inclusion | HILBERT-SPACES | COMMON SOLUTIONS | NONEXPANSIVE-MAPPINGS | OPTIMIZATION PROBLEMS | fixed points | ITERATIVE METHOD | nonexpansive mapping | generalized mixed equilibrium problem | MATHEMATICS | BANACH-SPACES | inverse-strongly accretive mapping | SYSTEMS | PSEUDO-CONTRACTIONS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS

Strictly-pseudocontractive mapping | Fixed points | Generalized mixed equilibrium problem | Inversestrongly accretive mapping | Variational inclusion | Nonexpansive mapping | variational inclusion | HILBERT-SPACES | COMMON SOLUTIONS | NONEXPANSIVE-MAPPINGS | OPTIMIZATION PROBLEMS | fixed points | ITERATIVE METHOD | nonexpansive mapping | generalized mixed equilibrium problem | MATHEMATICS | BANACH-SPACES | inverse-strongly accretive mapping | SYSTEMS | PSEUDO-CONTRACTIONS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 4, pp. 1473 - 1483

In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces...

Strong convergence | Infinite family | Banach space | Nonexpansive mapping | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | SEQUENCES | ALGORITHM | ACCRETIVE-OPERATORS | FAMILY | FIXED-POINT THEOREMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | VISCOSITY APPROXIMATION METHODS | PROJECTIONS

Strong convergence | Infinite family | Banach space | Nonexpansive mapping | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | SEQUENCES | ALGORITHM | ACCRETIVE-OPERATORS | FAMILY | FIXED-POINT THEOREMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | VISCOSITY APPROXIMATION METHODS | PROJECTIONS

Journal Article

数学物理学报：B辑英文版, ISSN 0252-9602, 2014, Volume 34, Issue 2, pp. 409 - 423

.... Assume that every nonempty closed con- vex and bounded subset of K has the fixed point property for nonexpansive mappings...

变分解 | 强伪压缩映射 | 自反Banach空间 | 变分不等式问题 | 逼近 | 不动点性质 | Gateaux可微 | 伪压缩映象 | uniformly Gâteaux differentiable norm | Pseudo-contractive mappings | 47H09 | reflexive Banach spaces | variational inequality | 47J05 | 47J25 | 47H06 | Reflexive Banach spaces | Uniformly Gâteaux differentiable norm | Variational inequality | INEQUALITIES | LIPSCHITZIAN PSEUDOCONTRACTIVE MAPPINGS | ACCRETIVE-OPERATORS | ITERATIVE SOLUTION | STRONG-CONVERGENCE THEOREMS | MATHEMATICS | NONLINEAR EQUATIONS | MAPS | MONOTONE | uniformly Gateaux differentiable norm | HILBERT-SPACE | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Norms | Mapping | Banach space | Optimization | Convergence

变分解 | 强伪压缩映射 | 自反Banach空间 | 变分不等式问题 | 逼近 | 不动点性质 | Gateaux可微 | 伪压缩映象 | uniformly Gâteaux differentiable norm | Pseudo-contractive mappings | 47H09 | reflexive Banach spaces | variational inequality | 47J05 | 47J25 | 47H06 | Reflexive Banach spaces | Uniformly Gâteaux differentiable norm | Variational inequality | INEQUALITIES | LIPSCHITZIAN PSEUDOCONTRACTIVE MAPPINGS | ACCRETIVE-OPERATORS | ITERATIVE SOLUTION | STRONG-CONVERGENCE THEOREMS | MATHEMATICS | NONLINEAR EQUATIONS | MAPS | MONOTONE | uniformly Gateaux differentiable norm | HILBERT-SPACE | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Norms | Mapping | Banach space | Optimization | Convergence

Journal Article

Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 01/2014, Volume 15, Issue 3, pp. 557 - 572

In this paper, we first prove a weak convergence theorem by Mann's iteration for a commutative family of positively homogeneous nonexpansive mappings in a Banach space...

Hybrid method | Banach space | Mann's iteration | Nonexpansive mapping | Generalized nonexpansive mapping | Fixed point | EXISTENCE | RETRACTIONS | MATHEMATICS, APPLIED | hybrid method | MAXIMAL MONOTONE-OPERATORS | nonexpansive mapping | PROXIMAL-TYPE ALGORITHM | ACCRETIVE-OPERATORS | MATHEMATICS | SEMIGROUPS | FIXED-POINT THEOREMS | NONLINEAR ERGODIC-THEOREMS | RESOLVENTS | fixed point | VISCOSITY APPROXIMATION METHODS | generalized nonexpansive mapping

Hybrid method | Banach space | Mann's iteration | Nonexpansive mapping | Generalized nonexpansive mapping | Fixed point | EXISTENCE | RETRACTIONS | MATHEMATICS, APPLIED | hybrid method | MAXIMAL MONOTONE-OPERATORS | nonexpansive mapping | PROXIMAL-TYPE ALGORITHM | ACCRETIVE-OPERATORS | MATHEMATICS | SEMIGROUPS | FIXED-POINT THEOREMS | NONLINEAR ERGODIC-THEOREMS | RESOLVENTS | fixed point | VISCOSITY APPROXIMATION METHODS | generalized nonexpansive mapping

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/1998, Volume 224, Issue 1, pp. 91 - 101

...=fand the convergence problem of Ishikawa and Mann iterative sequences for strongly pseudo-contractive mappings without the Lipschitz condition...

duality mapping | strongly pseudo-contractive mapping | Mann iteration sequence | uniformly smooth Banach space | Ishikawa iteration sequence | strongly accretive mapping | Duality mapping; uniformly smooth Banach space; Mann iteration sequence; Ishikawa iteration sequence; strongly accretive mapping; strongly pseudo-contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIVE MAPPINGS | SMOOTH BANACH-SPACES | LIPSCHITZIAN

duality mapping | strongly pseudo-contractive mapping | Mann iteration sequence | uniformly smooth Banach space | Ishikawa iteration sequence | strongly accretive mapping | Duality mapping; uniformly smooth Banach space; Mann iteration sequence; Ishikawa iteration sequence; strongly accretive mapping; strongly pseudo-contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | PSEUDOCONTRACTIVE MAPPINGS | SMOOTH BANACH-SPACES | LIPSCHITZIAN

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

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 12

We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of a finite family of monotone mappings in Banach spaces...

resolvent mappings | Analysis | accretive mappings | Mathematics, general | Mathematics | Applications of Mathematics | maximal monotone mappings | proximal point algorithm | Accretive mappings | Proximal point algorithm | Resolvent mappings | Maximal monotone mappings | proximal point | MATHEMATICS | MATHEMATICS, APPLIED | algorithm

resolvent mappings | Analysis | accretive mappings | Mathematics, general | Mathematics | Applications of Mathematics | maximal monotone mappings | proximal point algorithm | Accretive mappings | Proximal point algorithm | Resolvent mappings | Maximal monotone mappings | proximal point | MATHEMATICS | MATHEMATICS, APPLIED | algorithm

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2006, Volume 2006, Issue 1, pp. 1 - 12

Based on the notion of -accretive mappings and the resolvent operators associated with -accretive mappings due to Lan et al...

Mathematics, general | Mathematics | Applications of Mathematics | Analysis | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | RESOLVENT OPERATOR TECHNIQUE | ALGORITHM

Mathematics, general | Mathematics | Applications of Mathematics | Analysis | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | RESOLVENT OPERATOR TECHNIQUE | ALGORITHM

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 4/2013, Volume 2013, pp. 1 - 5

We study the convergence of implicit Picard iterative sequences for strongly accretive and strongly pseudocontractive mappings...

ACCRETIVE MAPPINGS | MATHEMATICS, APPLIED | APPROXIMATION | NONLINEAR LIPSCHITZIAN | CONVEX | FIXED-POINTS | Sequences (Mathematics) | Mathematical research | Convergence (Mathematics) | Research | Banach spaces | Iterative methods (Mathematics) | Mappings (Mathematics) | Sequences | Mapping | Banach space | Iterative methods | Mathematical analysis | Convergence

ACCRETIVE MAPPINGS | MATHEMATICS, APPLIED | APPROXIMATION | NONLINEAR LIPSCHITZIAN | CONVEX | FIXED-POINTS | Sequences (Mathematics) | Mathematical research | Convergence (Mathematics) | Research | Banach spaces | Iterative methods (Mathematics) | Mappings (Mathematics) | Sequences | Mapping | Banach space | Iterative methods | Mathematical analysis | Convergence

Journal Article

Annals of Functional Analysis, ISSN 2008-8752, 2011, Volume 2, Issue 2, pp. 10 - 21

... -> E be a nonexpansive mapping with F(T) not equal (sic). Let A : E -> E be an eta-strongly accretive map which is also kappa-Lipschitzian. Let f : E...

Q−uniformly smooth banach spaces | κ−lipschitzian maps | η−strongly accretive maps | Q-uniformly smooth Banach spaces | κ-Lipschitzian maps | Η-strongly accretive maps | Nonexpansive maps | MATHEMATICS | MATHEMATICS, APPLIED | nonexpansive maps | INEQUALITIES | eta-strongly accretive maps | kappa-Lipschitzian maps | CONVERGENCE | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS | q-uniformly smooth Banach spaces | Algorithms

Q−uniformly smooth banach spaces | κ−lipschitzian maps | η−strongly accretive maps | Q-uniformly smooth Banach spaces | κ-Lipschitzian maps | Η-strongly accretive maps | Nonexpansive maps | MATHEMATICS | MATHEMATICS, APPLIED | nonexpansive maps | INEQUALITIES | eta-strongly accretive maps | kappa-Lipschitzian maps | CONVERGENCE | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS | q-uniformly smooth Banach spaces | Algorithms

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2008, Volume 245, Issue 4, pp. 994 - 1013

Let X be a Banach space whose dual space X ∗ is uniformly convex. We demonstrate that, for any demicontinuous, weakly Nagumo, k-pseudo-contractive mapping T : D ( T ) ⊆ X...

Weakly inward | Pseudo-contractive | Accretive | Partial differential equations | Initial value problem | Demicontinuous | Nagumo condition | Semigroup | Fixed point | DIFFERENTIAL EQUATIONS | accretive | weakly inward | initial value problem | pseudo-contractive | nagumo condition | MATHEMATICS | demicontinuous | fixed point | BANACH-SPACES | semigroup | CONVERGENCE | partial differential equations

Weakly inward | Pseudo-contractive | Accretive | Partial differential equations | Initial value problem | Demicontinuous | Nagumo condition | Semigroup | Fixed point | DIFFERENTIAL EQUATIONS | accretive | weakly inward | initial value problem | pseudo-contractive | nagumo condition | MATHEMATICS | demicontinuous | fixed point | BANACH-SPACES | semigroup | CONVERGENCE | partial differential equations

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 3/2012, Volume 2012, pp. 1 - 13

...→C an infinite family of nonexpansive mappings with the nonempty set of common fixed points ⋂k=1∞Fix (Tk), and f:C→C a contraction...

MATHEMATICS, APPLIED | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | VISCOSITY APPROXIMATION METHODS | SCHEMES | Studies | Hilbert space | Banach spaces | Inequality | Fixed points (mathematics) | Algorithms | Computation | Inequalities | Tin | Mathematical models | Iterative algorithms | Mapping | Banach space

MATHEMATICS, APPLIED | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | VISCOSITY APPROXIMATION METHODS | SCHEMES | Studies | Hilbert space | Banach spaces | Inequality | Fixed points (mathematics) | Algorithms | Computation | Inequalities | Tin | Mathematical models | Iterative algorithms | Mapping | Banach space

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 2012, Volume 2012, pp. 1 - 14

.... If T be a continuous asymptotically pseudocontractive self-mapping of a nonempty bounded closed convex subset K of a real reflexive Banach space with a uniformly Gateaux differentiable norm...

APPROXIMATION METHODS | MATHEMATICS, APPLIED | BANACH-SPACES | THEOREMS | ACCRETIVE-OPERATORS | FIXED-POINTS | STRONG-CONVERGENCE | Studies | Banach spaces | Information management | Methods | Inequality | Viscosity | Asymptotic properties | Inequalities | Norms | Mapping | Gateaux | Banach space | Zinc

APPROXIMATION METHODS | MATHEMATICS, APPLIED | BANACH-SPACES | THEOREMS | ACCRETIVE-OPERATORS | FIXED-POINTS | STRONG-CONVERGENCE | Studies | Banach spaces | Information management | Methods | Inequality | Viscosity | Asymptotic properties | Inequalities | Norms | Mapping | Gateaux | Banach space | Zinc

Journal Article

Mathematical Inequalities and Applications, ISSN 1331-4343, 2008, Volume 11, Issue 4, pp. 783 - 794

...)accretive mappings in Banach spaces is introduced and studied, which includes many variational inequality (inclusion...

Convergence and stability | Iterative algorithm | Ralaxed cocoercive mapping | (A, η) -accretive mapping | System of variational inclusion | ralaxed cocoercive mapping | INEQUALITIES | PERTURBED ALGORITHM | STABILITY | convergence and stability | MONOTONE MAPPINGS | ITERATIVE ALGORITHMS | iterative algorithm | RESOLVENT OPERATOR TECHNIQUE | MATHEMATICS | H-ACCRETIVE OPERATORS | (A, eta) -accretive mapping | SENSITIVITY-ANALYSIS | MANN | system of variational inclusion

Convergence and stability | Iterative algorithm | Ralaxed cocoercive mapping | (A, η) -accretive mapping | System of variational inclusion | ralaxed cocoercive mapping | INEQUALITIES | PERTURBED ALGORITHM | STABILITY | convergence and stability | MONOTONE MAPPINGS | ITERATIVE ALGORITHMS | iterative algorithm | RESOLVENT OPERATOR TECHNIQUE | MATHEMATICS | H-ACCRETIVE OPERATORS | (A, eta) -accretive mapping | SENSITIVITY-ANALYSIS | MANN | system of variational inclusion

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 206, Issue 2, pp. 814 - 825

The purpose of this paper is to study the iterative methods for constructing fixed points of nonself-mappings in Banach spaces...

Nonself-mapping | Iterative method | Fixed-point problem | Retraction | MATHEMATICS, APPLIED | retraction | THEOREMS | fixed-point problem | ACCRETIVE-OPERATORS | EXTENSION | iterative method | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | nonself-mapping

Nonself-mapping | Iterative method | Fixed-point problem | Retraction | MATHEMATICS, APPLIED | retraction | THEOREMS | fixed-point problem | ACCRETIVE-OPERATORS | EXTENSION | iterative method | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | nonself-mapping

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2010, Issue 1, pp. 1 - 9

Let be a Hilbert space and a nonempty closed convex subset of . Let be a maximal monotone mapping and a bounded demicontinuous strong pseudocontraction...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | APPROXIMATION | BANACH-SPACES | THEOREMS | PSEUDOCONTRACTIVE MAPPINGS | EQUATIONS | ACCRETIVE-OPERATORS | ITERATIVE SOLUTION | FIXED-POINTS | Studies | Mathematical models | Hilbert space | Banach spaces | Convergence

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | APPROXIMATION | BANACH-SPACES | THEOREMS | PSEUDOCONTRACTIVE MAPPINGS | EQUATIONS | ACCRETIVE-OPERATORS | ITERATIVE SOLUTION | FIXED-POINTS | Studies | Mathematical models | Hilbert space | Banach spaces | Convergence

Journal Article

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