Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 62, Issue 11, pp. 4007 - 4014

Let C be a nonempty, closed and convex subset of a real Hilbert space H . Let T i : C → H , i = 1 , 2 , … , N , be a finite family of generalized asymptotically nonexpansive mappings...

Monotone mappings | Strong convergence | Variational inequality problems | Equilibrium problems | Relatively quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | FINITE FAMILY | THEOREMS | ALGORITHM | FIXED-POINTS | Asymptotic properties | Mathematical analysis | Nonlinearity | Hilbert space | Mathematical models | Mapping | Iterative methods | Convergence

Monotone mappings | Strong convergence | Variational inequality problems | Equilibrium problems | Relatively quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | FINITE FAMILY | THEOREMS | ALGORITHM | FIXED-POINTS | Asymptotic properties | Mathematical analysis | Nonlinearity | Hilbert space | Mathematical models | Mapping | Iterative methods | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 43

In this paper, we introduce a new class of mappings called Bregman weak relatively nonexpansive mappings and propose new hybrid iterative algorithms for finding common fixed points of an infinite...

uniformly smooth function | Mathematical and Computational Biology | uniformly convex function | Mathematics | Topology | strong convergence | Bregman function | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Bregman weak relatively nonexpansive mapping | Strong convergence | Uniformly smooth function | Uniformly convex function | Fixed point | EXISTENCE | ALGORITHM | STRONG-CONVERGENCE THEOREMS | NONLINEAR INTEGRAL-EQUATIONS | MATHEMATICS | COMMON FIXED-POINT | EQUILIBRIUM PROBLEMS | MONOTONE-OPERATORS | Fixed point theory | Usage | Banach spaces | Contraction operators

uniformly smooth function | Mathematical and Computational Biology | uniformly convex function | Mathematics | Topology | strong convergence | Bregman function | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | Bregman weak relatively nonexpansive mapping | Strong convergence | Uniformly smooth function | Uniformly convex function | Fixed point | EXISTENCE | ALGORITHM | STRONG-CONVERGENCE THEOREMS | NONLINEAR INTEGRAL-EQUATIONS | MATHEMATICS | COMMON FIXED-POINT | EQUILIBRIUM PROBLEMS | MONOTONE-OPERATORS | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Studia Mathematica, ISSN 0039-3223, 2005, Volume 171, Issue 3, pp. 283 - 293

The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach...

Fixed points | Proximal normal structure | Proximal points | Relatively nonexpansive mappings | MATHEMATICS | proximal normal structure | proximal points | fixed points | relatively nonexpansive mappings

Fixed points | Proximal normal structure | Proximal points | Relatively nonexpansive mappings | MATHEMATICS | proximal normal structure | proximal points | fixed points | relatively nonexpansive mappings

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2007, Volume 67, Issue 6, pp. 1958 - 1965

In this paper, we prove two strong convergence theorems of modified Ishikawa iteration and modified Halpern iteration for relatively nonexpansive mappings in a Banach space...

Asymptotic fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | MATHEMATICS, APPLIED | ITERATION METHOD | WEAK-CONVERGENCE | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | generalized projection | FIXED-POINTS

Asymptotic fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | MATHEMATICS, APPLIED | ITERATION METHOD | WEAK-CONVERGENCE | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | generalized projection | FIXED-POINTS

Journal Article

Numerical functional analysis and optimization, ISSN 1532-2467, 2015, Volume 37, Issue 1, pp. 80 - 91

... ∪ B → A ∪ B be a continuous and asymptotically relatively nonexpansive map. We prove that there exists x ∈ A ∪ B such that ||x − Tx|| = dist(A, B) whenever T(A) ⊆ B, T(B...

Asymptotically nonexpansive maps | property UC | best proximity points | relatively nonexpansive maps | proximal pairs | Asymptoticallynonexpansive maps | proximalpairs | relativelynonexpansive maps | bestproximitypoints | EXISTENCE | MATHEMATICS, APPLIED | CONVERGENCE | Theorems | Proximity | Rectangles | Asymptotic properties | Mapping | Functional analysis | Banach space | Optimization | Mathematics - Functional Analysis

Asymptotically nonexpansive maps | property UC | best proximity points | relatively nonexpansive maps | proximal pairs | Asymptoticallynonexpansive maps | proximalpairs | relativelynonexpansive maps | bestproximitypoints | EXISTENCE | MATHEMATICS, APPLIED | CONVERGENCE | Theorems | Proximity | Rectangles | Asymptotic properties | Mapping | Functional analysis | Banach space | Optimization | Mathematics - Functional Analysis

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 15

...-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property...

Equilibrium problem | Lower semi-continuous | Mathematical and Computational Biology | Analysis | Generalized projection | Mathematics, general | Asymptotically quasi- ϕ -nonexpansive mapping | Mathematics | Relatively non-expansive mapping | Topology | Applications of Mathematics | Differential Geometry | Asymptotically quasi-φ-nonexpansive mapping | Asymptotically quasi-ϕ-nonexpansive mapping

Equilibrium problem | Lower semi-continuous | Mathematical and Computational Biology | Analysis | Generalized projection | Mathematics, general | Asymptotically quasi- ϕ -nonexpansive mapping | Mathematics | Relatively non-expansive mapping | Topology | Applications of Mathematics | Differential Geometry | Asymptotically quasi-φ-nonexpansive mapping | Asymptotically quasi-ϕ-nonexpansive mapping

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 13

...) for quasi-nonexpansive mappings. In contrast with related processes, our method does not require any demiclosedness principle condition imposed on the involved operators belonging to the wide class of quasi-nonexpansive operators...

weak relatively nonexpansive mapping | 47H10 | fixed point | Analysis | viscosity approximation method | Mathematics, general | Mathematics | 37C25 | Applications of Mathematics | strong convergence | EXISTENCE | MATHEMATICS, APPLIED | ACCRETIVE-OPERATORS | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | THEOREMS | CONVERGENCE | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | ZEROS | Viscosity | Operators | Algorithms | Approximation | Mathematical analysis | Inequalities | Mapping | Banach space | Convergence

weak relatively nonexpansive mapping | 47H10 | fixed point | Analysis | viscosity approximation method | Mathematics, general | Mathematics | 37C25 | Applications of Mathematics | strong convergence | EXISTENCE | MATHEMATICS, APPLIED | ACCRETIVE-OPERATORS | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | THEOREMS | CONVERGENCE | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | ZEROS | Viscosity | Operators | Algorithms | Approximation | Mathematical analysis | Inequalities | Mapping | Banach space | Convergence

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 4/2013, Volume 38, Issue 3, pp. 563 - 580

...-asymptotically nonexpansive mappings is introduced. Under suitable conditions some strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property...

Block iterative algorithm | Relatively nonexpansive mapping | Numeric Computing | Theory of Computation | Generalized equilibrium problem | Algebra | Convex feasibility problem | Total quasi- ϕ -asymptotically nonexpansive mapping | Calculus of Variations and Optimal Control; Optimization | Quasi- ϕ -nonexpansive mapping | Generalized projection | Computer Science | 47H09 | Mathematics, general | 47J05 | 49J25 | Quasi-φ{symbol}-nonexpansive mapping | Total quasi-φ{symbol}-asymptotically nonexpansive mapping | MATHEMATICS, APPLIED | Total quasi-empty set-asymptotically nonexpansive mapping | STRONG-CONVERGENCE THEOREMS | Quasi-empty set-nonexpansive mapping | RELATIVELY NONEXPANSIVE-MAPPINGS | FIXED-POINT PROBLEMS | Convergence (Mathematics) | Algorithms | Research | Banach spaces | Iterative methods (Mathematics) | Mathematical analysis | Blocking | Projection | Feasibility | Mathematical models | Banach space | Convergence

Block iterative algorithm | Relatively nonexpansive mapping | Numeric Computing | Theory of Computation | Generalized equilibrium problem | Algebra | Convex feasibility problem | Total quasi- ϕ -asymptotically nonexpansive mapping | Calculus of Variations and Optimal Control; Optimization | Quasi- ϕ -nonexpansive mapping | Generalized projection | Computer Science | 47H09 | Mathematics, general | 47J05 | 49J25 | Quasi-φ{symbol}-nonexpansive mapping | Total quasi-φ{symbol}-asymptotically nonexpansive mapping | MATHEMATICS, APPLIED | Total quasi-empty set-asymptotically nonexpansive mapping | STRONG-CONVERGENCE THEOREMS | Quasi-empty set-nonexpansive mapping | RELATIVELY NONEXPANSIVE-MAPPINGS | FIXED-POINT PROBLEMS | Convergence (Mathematics) | Algorithms | Research | Banach spaces | Iterative methods (Mathematics) | Mathematical analysis | Blocking | Projection | Feasibility | Mathematical models | Banach space | Convergence

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 2/2014, Volume 64, Issue 1, pp. 175 - 186

...-asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of Banach spaces...

weak relatively nonexpansive mapping | Algebra | quasi- ϕ -nonexpansive mapping | Mathematics, general | Mathematics | quasi- ϕ -symptotically nonexpansive mapping | Primary 47J05, 47H09, 49J25 | relatively nonexpansive mapping | generalized projection | quasi-ϕ-symptotically nonexpansive mapping | quasi-ϕ-nonexpansive mapping | quasi-φ{symbol}-symptotically nonexpansive mapping | quasi-φ{symbol}-nonexpansive mapping

weak relatively nonexpansive mapping | Algebra | quasi- ϕ -nonexpansive mapping | Mathematics, general | Mathematics | quasi- ϕ -symptotically nonexpansive mapping | Primary 47J05, 47H09, 49J25 | relatively nonexpansive mapping | generalized projection | quasi-ϕ-symptotically nonexpansive mapping | quasi-ϕ-nonexpansive mapping | quasi-φ{symbol}-symptotically nonexpansive mapping | quasi-φ{symbol}-nonexpansive mapping

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1812, 12/2014, Volume 2014, Issue 1, pp. 1 - 17

The purpose of this paper is to construct a new iterative scheme and to get a strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings and a system of equilibrium...

equilibrium problems | generalized f -projection operator | hybrid algorithm | Mathematical and Computational Biology | Analysis | relatively quasi-nonexpansive mapping | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | uniformly closed mappings | MATHEMATICS | generalized f-projection operator | INEQUALITIES | BANACH-SPACES | WEAK-CONVERGENCE | OPERATORS | Fixed point theory | Usage | Convergence (Mathematics) | Banach spaces | Contraction operators

equilibrium problems | generalized f -projection operator | hybrid algorithm | Mathematical and Computational Biology | Analysis | relatively quasi-nonexpansive mapping | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | uniformly closed mappings | MATHEMATICS | generalized f-projection operator | INEQUALITIES | BANACH-SPACES | WEAK-CONVERGENCE | OPERATORS | Fixed point theory | Usage | Convergence (Mathematics) | Banach spaces | Contraction operators

Journal Article

11.
Full Text
Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 12, pp. 4656 - 4666

.... We also modify Halpern’s iteration for finding a fixed point of a strongly relatively nonexpansive mapping in a Banach space...

Strongly relatively nonexpansive mapping | Maximal monotone operator | Strongly generalized nonexpansive mapping | Firmly generalized nonexpansive type mapping | Relatively nonexpansive mapping | MATHEMATICS, APPLIED | MAXIMAL MONOTONE-OPERATORS | ALGORITHM | STRONG-CONVERGENCE THEOREMS | FAMILY | WEAK | NONLINEAR MAPPINGS | PROJECTION | FIXED-POINT THEOREMS | Operators | Theorems | Analogue | Mapping | Mathematical models | Banach space | Iterative methods | Convergence

Strongly relatively nonexpansive mapping | Maximal monotone operator | Strongly generalized nonexpansive mapping | Firmly generalized nonexpansive type mapping | Relatively nonexpansive mapping | MATHEMATICS, APPLIED | MAXIMAL MONOTONE-OPERATORS | ALGORITHM | STRONG-CONVERGENCE THEOREMS | FAMILY | WEAK | NONLINEAR MAPPINGS | PROJECTION | FIXED-POINT THEOREMS | Operators | Theorems | Analogue | Mapping | Mathematical models | Banach space | Iterative methods | Convergence

Journal Article

Journal of Approximation Theory, ISSN 0021-9045, 2007, Volume 149, Issue 2, pp. 103 - 115

In this paper, we establish strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming...

Asymptotic fixed point | Common fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | APPROXIMATION | WEAK-CONVERGENCE | common fixed point | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | OPERATORS | generalized projection

Asymptotic fixed point | Common fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | APPROXIMATION | WEAK-CONVERGENCE | common fixed point | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | OPERATORS | generalized projection

Journal Article

The Journal of Analysis, ISSN 0971-3611, 6/2018, Volume 26, Issue 1, pp. 9 - 14

... (Numer Funct Anal Optim 37:80–91, 2016) fixed point theorem for asymptotically relatively nonexpansive mappings.

Asymptotically relatively nonexpansive mapping | UC-property | P -property | Mathematics | Abstract Harmonic Analysis | 47H10 | Fourier Analysis | Functional Analysis | Special Functions | Analysis | 47H09 | Fixed points | Measure and Integration

Asymptotically relatively nonexpansive mapping | UC-property | P -property | Mathematics | Abstract Harmonic Analysis | 47H10 | Fourier Analysis | Functional Analysis | Special Functions | Analysis | 47H09 | Fixed points | Measure and Integration

Journal Article

Nonlinear analysis, ISSN 0362-546X, 2009, Volume 70, Issue 1, pp. 45 - 57

In this paper, we introduce two iterative sequences for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space...

Convergence theorem | Resolvent | Equilibrium problem | Banach space | Relatively nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED

Convergence theorem | Resolvent | Equilibrium problem | Banach space | Relatively nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of global optimization, ISSN 1573-2916, 2013, Volume 57, Issue 4, pp. 1299 - 1318

.... As applications, we apply our results to obtain strong convergence theorems for a maximal monotone operator and quasi-nonexpansive mappings in Hilbert spaces and we consider a problem of finding...

Inverse-strongly monotone operator | Maximal monotone operator | Relatively quasi-nonexpansive mapping | Optimization | Economics / Management Science | 47H10 | Equilibrium problem | Variational inequality | Operations Research/Decision Theory | Hybrid projection method | 47H09 | Computer Science, general | 47H05 | Real Functions | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE METHOD | HYBRID METHODS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUILIBRIUM | THEOREMS | WEAK-CONVERGENCE | FIXED-POINT PROBLEMS | Studies | Mapping | Banach spaces | Equilibrium | Operators | Theorems | Inequalities | Hilbert space | Banach space | Convergence

Inverse-strongly monotone operator | Maximal monotone operator | Relatively quasi-nonexpansive mapping | Optimization | Economics / Management Science | 47H10 | Equilibrium problem | Variational inequality | Operations Research/Decision Theory | Hybrid projection method | 47H09 | Computer Science, general | 47H05 | Real Functions | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIVE METHOD | HYBRID METHODS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GENERALIZED EQUILIBRIUM | THEOREMS | WEAK-CONVERGENCE | FIXED-POINT PROBLEMS | Studies | Mapping | Banach spaces | Equilibrium | Operators | Theorems | Inequalities | Hilbert space | Banach space | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 14

... Mann iterative scheme is obtained in a reﬂexive Banach space. Keywords: ﬁxed point; nonexpansive mapping; asymptotically quasi-φ-nonexpansive mapping...

Mathematical and Computational Biology | fixed point | Analysis | asymptotically quasi- ϕ -nonexpansive mapping in the intermediate sense | Mathematics, general | nonexpansive mapping | Mathematics | Applications of Mathematics | Topology | Differential Geometry | relatively nonexpansive mapping | generalized projection | Asymptotically quasi-φ-nonexpansive mapping in the intermediate sense | Generalized projection | Relatively nonexpansive mapping | Nonexpansive mapping | Fixed point | NONEXPANSIVE-MAPPINGS | APPROXIMATION | STRONG-CONVERGENCE THEOREMS | ALGORITHMS | MATHEMATICS | COMMON ELEMENTS | SEMIGROUPS | HYBRID PROJECTION METHODS | WEAK-CONVERGENCE | asymptotically quasi-phi-nonexpansive mapping in the intermediate sense | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | Fixed point theory | Usage | Banach spaces | Contraction operators

Mathematical and Computational Biology | fixed point | Analysis | asymptotically quasi- ϕ -nonexpansive mapping in the intermediate sense | Mathematics, general | nonexpansive mapping | Mathematics | Applications of Mathematics | Topology | Differential Geometry | relatively nonexpansive mapping | generalized projection | Asymptotically quasi-φ-nonexpansive mapping in the intermediate sense | Generalized projection | Relatively nonexpansive mapping | Nonexpansive mapping | Fixed point | NONEXPANSIVE-MAPPINGS | APPROXIMATION | STRONG-CONVERGENCE THEOREMS | ALGORITHMS | MATHEMATICS | COMMON ELEMENTS | SEMIGROUPS | HYBRID PROJECTION METHODS | WEAK-CONVERGENCE | asymptotically quasi-phi-nonexpansive mapping in the intermediate sense | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 16

In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated...

weak Bregman relatively nonexpansive mapping | totally convex function | fixed point | Analysis | equilibrium problem | Mathematics, general | Mathematics | shrinking projection algorithm | Legendre function | Applications of Mathematics | Bregman distance | Bregman projection | Equilibrium problem | Totally convex function | Weak Bregman relatively nonexpansive mapping | Fixed point | Shrinking projection algorithm | PROXIMAL POINT | MATHEMATICS, APPLIED | STABILITY | VARIATIONAL-INEQUALITIES | MATHEMATICS | TOTAL CONVEXITY | SYSTEMS | PROJECTION ALGORITHMS | Theorems | Algorithms | Inequalities | Projection | Mapping | Banach space | Forecasting | Convergence

weak Bregman relatively nonexpansive mapping | totally convex function | fixed point | Analysis | equilibrium problem | Mathematics, general | Mathematics | shrinking projection algorithm | Legendre function | Applications of Mathematics | Bregman distance | Bregman projection | Equilibrium problem | Totally convex function | Weak Bregman relatively nonexpansive mapping | Fixed point | Shrinking projection algorithm | PROXIMAL POINT | MATHEMATICS, APPLIED | STABILITY | VARIATIONAL-INEQUALITIES | MATHEMATICS | TOTAL CONVEXITY | SYSTEMS | PROJECTION ALGORITHMS | Theorems | Algorithms | Inequalities | Projection | Mapping | Banach space | Forecasting | Convergence

Journal Article

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

In this paper, an iterative sequence for relatively nonexpansive multi-valued mappings by using the notion of generalized projection is introduced, and then weak and strong convergence theorems are proved...

relatively nonexpansive | iterative sequence | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | multi-valued mapping | Applications of Mathematics | Topology | Differential Geometry | Multi-valued mapping | Fixed point | Iterative sequence | Relatively nonexpansive | MATHEMATICS | OPERATORS | Usage | Fixed point theory | Convergence (Mathematics) | Banach spaces | Point mappings (Mathematics) | Methods

relatively nonexpansive | iterative sequence | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | multi-valued mapping | Applications of Mathematics | Topology | Differential Geometry | Multi-valued mapping | Fixed point | Iterative sequence | Relatively nonexpansive | MATHEMATICS | OPERATORS | Usage | Fixed point theory | Convergence (Mathematics) | Banach spaces | Point mappings (Mathematics) | Methods

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2014, Volume 2014, Issue 1, pp. 1 - 14

.... Then we investigate the structure of minimal sets of cyclic relatively nonexpansive mappings in the setting of convex metric spaces...

cyclic relatively nonexpansive mapping | convex metric space | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | best proximity point | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | PROXIMITY POINT THEOREMS | Theorems | Mapping | Proximity | Metric space | Inequalities

cyclic relatively nonexpansive mapping | convex metric space | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | best proximity point | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | PROXIMITY POINT THEOREMS | Theorems | Mapping | Proximity | Metric space | Inequalities

Journal Article

Optimization Letters, ISSN 1862-4472, 2/2014, Volume 8, Issue 2, pp. 533 - 542

Let $$C$$ be a nonempty closed convex subset of a real Hilbert space $$H$$ . Let $$\{T_i\}^{\infty }_{i=1}:C\rightarrow H$$ be an infinite family of generalized asymptotically nonexpansive nonself mappings...

Monotone mappings | Strong convergence | Computational Intelligence | Equilibrium problems | Operations Research/Decision Theory | Numerical and Computational Physics | 47H09 | Mathematics | Variational inequality problems | 47J25 | Optimization | Relatively quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE FAMILY | THEOREMS | FIXED-POINTS

Monotone mappings | Strong convergence | Computational Intelligence | Equilibrium problems | Operations Research/Decision Theory | Numerical and Computational Physics | 47H09 | Mathematics | Variational inequality problems | 47J25 | Optimization | Relatively quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FINITE FAMILY | THEOREMS | FIXED-POINTS

Journal Article

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