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General Iterative Method

A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

... new general iterative method by using the K-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert ...purposed iterative method ...

12

Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces

Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces

... (i) Theorem 3.2 improve and extend Theorem 3.4 of Marino and Xu [24], Theorem 3.2 of Zhou [8], Theorem 2.1 of Qin [9] and includes those results as special cases. Especially, our results extends above results form ...

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Some results on a general iterative method for k-strictly pseudo-contractive mappings

Some results on a general iterative method for k-strictly pseudo-contractive mappings

... approximation method, Marino and Xu [10] considered the following iterative method: for a strongly positive bounded linear operator A on H with constant γ > ¯ 0, a nonexpansive mapping T on H, a ...

11

A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

... a general iterative scheme by the viscosity approximation method for find- ing a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping ...

9

General Iterative Method for Convex Feasibility Problem via the Hierarchical Generalized Variational Inequality Problems

General Iterative Method for Convex Feasibility Problem via the Hierarchical Generalized Variational Inequality Problems

... We use V I(C, A) to denote the set of solutions of the variational inequality (3). It is well known that the variational inequality theory has emerged as an important tool in studying a wide class of obstacle, ...

6

A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

... the iterative schemes considered by Zhang et ...new general iterative scheme for finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the ...

25

A general iterative method for quasi nonexpansive mappings in Hilbert space

A general iterative method for quasi nonexpansive mappings in Hilbert space

... Iterative algorithms have been extensively studied over the class of nonexpansive mappings in Hilbert spaces. Recall that nonexpansive mappings belong to quasi- nonexpansive mappings. The aim of this article is ...

8

A new iterative algorithm for solving common solutions of generalized mixed equilibrium problems, fixed point problems and variational inclusion problems with minimization problems

A new iterative algorithm for solving common solutions of generalized mixed equilibrium problems, fixed point problems and variational inclusion problems with minimization problems

... new general iterative method for solving a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solutions of generalized mixed equilibrium problems and the set ...

27

Viscosity iterative algorithms for variational inequality

Viscosity iterative algorithms for variational inequality

... Zhou, Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces, Appl.. Yao, On modified iterative method for nonexp[r] ...

9

F(S) VI(C,A) Let uC and let B be a strong

F(S) VI(C,A) Let uC and let B be a strong

... "A general iterative for equilibrium problems of a countable family of nonexpansive mappings in Hilbert spaces," Far East ..."A general iterative method for ...

5

Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

... In this paper, we introduce a general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert spaces. We also prove that the sequences generated by the proposed ...

14

A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

... new general iterative method for finding a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solution of generalized mixed equilibrium problems, and the set ...

26

General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

... a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert ...

10

A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions

A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions

... new general iterative method for finding a common element of the set of solutions generalized for mixed equilibrium problems, the set of solution for fixed point for nonexpansive mappings and the set ...

31

Decomposition method for solving system of linear equations

Decomposition method for solving system of linear equations

... decomposition method to derive an iterative method, which is similar to the Jacobi iterative method for solving systems of linear ...decomposition method for fuzzy system of ...

8

On Two Iterative Methods for Mixed Monotone Variational Inequalities

On Two Iterative Methods for Mixed Monotone Variational Inequalities

... Remark 2.1. Theorem 5.1 of Wang et al. 7 holds true only in the finite-dimensional setting. This is because in the infinite-dimensional setting, a bounded sequence fails, in general, to have a norm-convergent ...

10

Hybrid viscosity approximation methods for general systems of variational inequalities in Banach spaces

Hybrid viscosity approximation methods for general systems of variational inequalities in Banach spaces

... implicit iterative method and an explicit iterative method for solving a general system of variational inequalities (in short, GSVI) in X based on Korpelevich’s extragradient ...

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Composite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space

Composite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space

... descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications ...

13

Regularization and Iterative Methods for Monotone Variational Inequalities

Regularization and Iterative Methods for Monotone Variational Inequalities

... In the special case where A is of the form A I − T , with T being a nonexpansive mapping, regularization and iterative methods for VIP 1.1 have been investigated in literature; see, for example, 5–19; work related ...

11

Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

... very general in the sense that it includes, as special cases, optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games, and others; see, for ...

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