Applicable Analysis, ISSN 0003-6811, 01/2008, Volume 87, Issue 1, pp. 117 - 129

Let E be a real q-uniformly smooth Banach space with q ≥ 1 + d q . Let K be a closed, convex and nonempty subset of E. Let be a family of nonexpansive...

Demicompact operator | Uniformly Gâteaux differentiable norm | Nonexpansive mapings | Uniformly smooth real Banach spaces | q-Uniformly smooth spaces | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | APPROXIMATION | THEOREMS | demicompact operator | nonexpansive mapings | q-uniformly smooth spaces | uniformly smooth real Banach spaces | uniformly G(a)over-capteaux differentiable norm

Demicompact operator | Uniformly Gâteaux differentiable norm | Nonexpansive mapings | Uniformly smooth real Banach spaces | q-Uniformly smooth spaces | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | APPROXIMATION | THEOREMS | demicompact operator | nonexpansive mapings | q-uniformly smooth spaces | uniformly smooth real Banach spaces | uniformly G(a)over-capteaux differentiable norm

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 2/2007, Volume 1, Issue 1, pp. 149 - 157

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a...

Complete metric space | strict contraction | contractive mapping | nonexpansive mapping | Mathematics | 54H25 | Mathematical Methods in Physics | 47H10 | fixed point | Leray–Schauder boundary condition | Analysis | 47H09 | continuation method | Mathematics, general | iteration | MATHEMATICS | MATHEMATICS, APPLIED | contractive maping | Leray-Schauder boundary condition | Knowledge-based systems

Complete metric space | strict contraction | contractive mapping | nonexpansive mapping | Mathematics | 54H25 | Mathematical Methods in Physics | 47H10 | fixed point | Leray–Schauder boundary condition | Analysis | 47H09 | continuation method | Mathematics, general | iteration | MATHEMATICS | MATHEMATICS, APPLIED | contractive maping | Leray-Schauder boundary condition | Knowledge-based systems

Journal Article

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, ISSN 1345-4773, 2017, Volume 18, Issue 4, pp. 763 - 776

In this paper, we propose and investigate the following general algorithm for approximating a zero of A + B x(n+1) = alpha(n)f(x(n)) + beta(n)x(n) +...

MATHEMATICS, APPLIED | cocoercive operator | equilibrium problem | PROXIMAL POINT ALGORITHMS | variational inequality | strong convergence | maximal monotone operator | MATHEMATICS | contraction proximal point algorithm | viscosity approximation method | minimization problem | MAPPINGS | HILBERT-SPACE | nonexpansive operator | forward-backward splitting method | FIXED-POINTS | STRONG-CONVERGENCE

MATHEMATICS, APPLIED | cocoercive operator | equilibrium problem | PROXIMAL POINT ALGORITHMS | variational inequality | strong convergence | maximal monotone operator | MATHEMATICS | contraction proximal point algorithm | viscosity approximation method | minimization problem | MAPPINGS | HILBERT-SPACE | nonexpansive operator | forward-backward splitting method | FIXED-POINTS | STRONG-CONVERGENCE

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 6/2008, Volume 24, Issue 6, pp. 1005 - 1022

In this work we prove a new strong convergence result of the regularized successive approximation method given by $$ y_{n + 1} = q_n z_0 + (1 - q_n )T^n y_n ,...

asymptotically nonexpansive mappings | 47H10 | duality map | best approximation | fixed point | 47A58 | Mathematics, general | Mathematics | iteration schemes | Duality map | Iteration schemes | Best approximation | Asymptotically nonexpansive mappings | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | THEOREMS | ACCRETIVE-OPERATORS | DEMICLOSEDNESS PRINCIPLE

asymptotically nonexpansive mappings | 47H10 | duality map | best approximation | fixed point | 47A58 | Mathematics, general | Mathematics | iteration schemes | Duality map | Iteration schemes | Best approximation | Asymptotically nonexpansive mappings | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | THEOREMS | ACCRETIVE-OPERATORS | DEMICLOSEDNESS PRINCIPLE

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 32

We introduce an iterative scheme for finding a common element of the set of fixed points of a -strictly pseudocontractive mapping, the set of solutions of the...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | WEAK | MATHEMATICS | SEMIGROUPS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | PSEUDO-CONTRACTIONS | OPTIMIZATION | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | Inequalities (Mathematics) | Fixed point theory | Hilbert space | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Studies | Problems | Mathematical functions | Iterative methods | Optimization

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | WEAK | MATHEMATICS | SEMIGROUPS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | PSEUDO-CONTRACTIONS | OPTIMIZATION | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | Inequalities (Mathematics) | Fixed point theory | Hilbert space | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Studies | Problems | Mathematical functions | Iterative methods | Optimization

Journal Article

Optimization: Special Issue: German-Israeli Research Workshop on Optimization, Haifa, ISSN 0233-1934, 01/2019, Volume 68, Issue 1, pp. 411 - 427

In this paper, we consider the split common fixed point problem for new demimetric mappings in two Banach spaces. Using the hybrid method, we prove a strong...

Split common fixed point problem | metric resolvent | hybrid method | metric projection | fixed point | shrinking projection method | duality mapping | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MAXIMAL MONOTONE-OPERATORS | FINITE FAMILY | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | NONSELF-MAPPINGS | HYBRID METHODS | NONLINEAR MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Theorems | Fixed points (mathematics) | Hilbert space | Banach spaces | Banach space | Convergence

Split common fixed point problem | metric resolvent | hybrid method | metric projection | fixed point | shrinking projection method | duality mapping | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MAXIMAL MONOTONE-OPERATORS | FINITE FAMILY | VARIATIONAL INEQUALITY PROBLEMS | STRONG-CONVERGENCE THEOREMS | NONSELF-MAPPINGS | HYBRID METHODS | NONLINEAR MAPPINGS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Theorems | Fixed points (mathematics) | Hilbert space | Banach spaces | Banach space | Convergence

Journal Article

Proceedings of the Indian Academy of Sciences. Mathematical sciences, ISSN 0973-7685, 2018, Volume 128, Issue 4, pp. 1 - 15

In this paper, we establish some weak and strong convergence theorems for a new iterative algorithm under some suitable conditions to approximate the common...

47H10 | condition $$(A')$$ ( A ′ ) | Common fixed point | 47H09 | Mathematics, general | Mathematics | weak and strong convergence | three step iterative scheme | generalized nonexpansive map | 54H25 | condition (A | WEAK | MATHEMATICS | FIXED-POINT THEOREMS | ISHIKAWA ITERATION | MANN | condition (A ') | Convergence (Mathematics) | Algorithms | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics)

47H10 | condition $$(A')$$ ( A ′ ) | Common fixed point | 47H09 | Mathematics, general | Mathematics | weak and strong convergence | three step iterative scheme | generalized nonexpansive map | 54H25 | condition (A | WEAK | MATHEMATICS | FIXED-POINT THEOREMS | ISHIKAWA ITERATION | MANN | condition (A ') | Convergence (Mathematics) | Algorithms | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics)

Journal Article

Applied mathematics a journal of Chinese universities, ISSN 1993-0445, 2012, Volume 27, Issue 4, pp. 489 - 502

In this paper, we introduce an iterative process for two nonself I-asymptotically quasi-nonexpansive mappings and two finite families of such mappings in...

uniformly convex Banach space | 47H10 | nonself I-asymptotically quasi-nonexpansive mapping | 47H09 | common fixed point | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS, APPLIED | ERRORS | FINITE FAMILY | WEAK-CONVERGENCE THEOREMS

uniformly convex Banach space | 47H10 | nonself I-asymptotically quasi-nonexpansive mapping | 47H09 | common fixed point | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS, APPLIED | ERRORS | FINITE FAMILY | WEAK-CONVERGENCE THEOREMS

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 11/2004, Volume 20, Issue 6, pp. 1009 - 1018

A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors...

Strong convergence | Mathematics | Asymptotically non-expansive mapping | Opial’s condition | Uniformly convex Banach space | Weak convergence | 47H10 | Mathematics, general | 47H05 | Modified Ishikawa iterative sequence with errors | Modified three-step iterative sequence with errors | Fixed point | 47H15 | Opial's condition | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | Studies | Mapping | Iterative methods | Asymptotic methods | Convergence | Errors | Theorems | Fixed points (mathematics) | Asymptotic properties | Banach space

Strong convergence | Mathematics | Asymptotically non-expansive mapping | Opial’s condition | Uniformly convex Banach space | Weak convergence | 47H10 | Mathematics, general | 47H05 | Modified Ishikawa iterative sequence with errors | Modified three-step iterative sequence with errors | Fixed point | 47H15 | Opial's condition | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | Studies | Mapping | Iterative methods | Asymptotic methods | Convergence | Errors | Theorems | Fixed points (mathematics) | Asymptotic properties | Banach space

Journal Article

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