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[PDF] Top 20 Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

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Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

... on Variational Analysis and Fixed Point Theory: Dedicated to Professor Wataru Takahashi on the occasion of his 70th birthday, and the two anonymous referees for helping us improve the original ... See full document

14

Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings

Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings

... of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and ...common fixed point of a countable family ... See full document

13

A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators

A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators

... the set of fixed points of strongly relatively nonexpansive mapping, the set of solutions for equilibrium problems and the set of zero points of maximal monotone ... See full document

12

Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization

Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization

... a fixed point constraint along with proof that these algorithms converge strongly to the unique solution of problems with a strongly monotone ...hierarchical fixed point problem, ... See full document

24

Multi-step hybrid viscosity method for systems of variational inequalities defined over sets of solutions of an equilibrium problem and fixed point problems

Multi-step hybrid viscosity method for systems of variational inequalities defined over sets of solutions of an equilibrium problem and fixed point problems

... of variational inequalities defined over the intersection of the set of solutions of an equilibrium problem, the set of common fixed points of a finite family of nonexpansive ... See full document

26

Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping

Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping

... paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate iterative ...the ... See full document

14

Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

... We denote the set of real numbers by R and the set of positive integers by N. Furthermore, we denote a real Hilbert space by H, its inner product by ·, ·, and the norm derived from the inner product by · . ... See full document

10

A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

... converges strongly to a common element of the solution set of a variational inequality problem for Lips- chitzian monotone mapping and the fixed point set of a continuous ... See full document

15

Hybrid Steepest-Descent Methods for Solving Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

Hybrid Steepest-Descent Methods for Solving Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

... to approximate this solution if F is a boundedly Lipschitzian and strongly monotone operator and C is a closed convex subset of ...the set of fixed points of a nonexpansive ... See full document

16

Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings

Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings

... and strongly quasi-nonexpansive ...converges strongly to a solution of SCFPP. They also considered split variational inequality problem [], split common null point problem and ... See full document

16

A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces

A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces

... the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone ... See full document

20

Strong convergence theorems for solutions of fixed point and variational inequality problems

Strong convergence theorems for solutions of fixed point and variational inequality problems

... the set of solution of variational inequalities for an inverse-strongly monotone mapping and in the set of fixed points of nonexpansive mappings or strict pseudocontractions; see ... See full document

11

New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

... fixed point of a set of fixed points of continuous pseudo-contractive mappings more general than nonexpansive mappings and a solution set of the variational inequality problem for ... See full document

17

Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem

Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem

... an approximate element of the common set of solutions of a split equilibrium problem, a variational inequality problem and a hierarchical fixed point problem in a real Hilbert ... See full document

27

An Implicit Hierarchical Fixed-Point Approach to General Variational Inequalities in Hilbert Spaces

An Implicit Hierarchical Fixed-Point Approach to General Variational Inequalities in Hilbert Spaces

... The set of fixed-points of T is denoted by the set FixT : {x ∈ C : Tx ...Given nonexpansive mapping V : C → C, consider the variational inequality for short, VI of finding ... See full document

17

Noor iteration for fixed point and variational inclusion problems

Noor iteration for fixed point and variational inclusion problems

... the set of fixed points of a non-expansive mapping and in the set of solutions of the variational inequality problem ... See full document

7

A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces

A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces

... common point of the set of fixed points of a nonexapnsive mapping and the set of solutions of the variational inequality for an inverse-strong monotone ... See full document

16

A General Iterative Approach to Variational Inequality Problems and Optimization Problems

A General Iterative Approach to Variational Inequality Problems and Optimization Problems

... a mapping f : C → C is a contraction on C if there exists a constant k ∈ 0, 1 such that f x − fy ≤ kx − y, x, y ∈ ...A mapping T : C → C is called nonexpansive if Tx − Ty ≤ x − y, x, y ∈ ...the ... See full document

20

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

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

... the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert ...converges strongly to a common element of the above two sets ... See full document

10

A Generalized Hybrid Steepest-Descent Method for Variational Inequalities in Banach Spaces

A Generalized Hybrid Steepest-Descent Method for Variational Inequalities in Banach Spaces

... the variational inequality problem over the fixed point set of nonlinear mapping and applicable to a broad range of convexly constrained nonlinear inverse problems in real ... See full document

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