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[PDF] Top 20 Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

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Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

... a Banach space is established in Yao et ...analyzed implicit and explicit iterative algorithms for solving GSVI () by using this equivalence, and they proved the strong convergence of ... See full document

25

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

... a uniformly convex and 2-uniformly smooth Banach ...an implicit iterative method and an explicit iterative method for solving a general system of variational ... See full document

22

Iterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a q-uniformly smooth Banach space

Iterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a q-uniformly smooth Banach space

... the variational inequality problems over the intersection of fixed point sets of nonexpansive ...Parallel Algorithms in Feasibility and Optimization and Their applications, ...general ... See full document

17

Fixed point solutions for variational inequalities in image restoration over q uniformly smooth Banach spaces

Fixed point solutions for variational inequalities in image restoration over q uniformly smooth Banach spaces

... new implicit and explicit iterative methods for finding a common fixed point set of an infinite family of strict pseudo-contractions by the sunny nonexpansive retractions in a real q-uniformly ... See full document

24

A New System of Nonlinear Fuzzy Variational Inclusions Involving  Accretive Mappings in Uniformly Smooth Banach Spaces

A New System of Nonlinear Fuzzy Variational Inclusions Involving Accretive Mappings in Uniformly Smooth Banach Spaces

... of variational inequality is to design efficient iterative algorithms to compute approximate solutions for variational inequalities and their gen- ... See full document

33

General convergence analysis of projection methods for a system of variational inequalities in q uniformly smooth Banach spaces

General convergence analysis of projection methods for a system of variational inequalities in q uniformly smooth Banach spaces

... bivariate variational inequality problems in q-uniformly smooth Banach spaces, but also to suggest and analyze a new explicit iterative method, which in- cludes the ... See full document

9

The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

... viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth ...mappings, variational inequality problems in Banach ... See full document

12

A modified viscosity implicit rule for a variational inequality problem and a uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a Banach space

A modified viscosity implicit rule for a variational inequality problem and a uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a Banach space

... The class of pseudocontractive operator is introduced by Browder and Petryshyn[13] in 1967 in Hilbert space who said that U is pseudocontractive operator if and only if T=I- U is monotone operator.They also proved the ... See full document

10

Iterative approximation of a solution of a general variational like inclusion in Banach spaces

Iterative approximation of a solution of a general variational like inclusion in Banach spaces

... (I) If E = H , a real Hilbert space, M(·,u) = ∂φ(·,u) , where φ : H × H → R {+∞} is such that φ(·,u) is a proper and lower semicontinuous functional for all u ∈ H , and ∂φ(·,u) denotes the η -subdifferential of φ(·,u) , ... See full document

10

Iterative solutions of K positive definite operator equations in real uniformly smooth Banach spaces

Iterative solutions of K positive definite operator equations in real uniformly smooth Banach spaces

... Kang, Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces, ... See full document

6

Strong convergence theorems for finding a common solution of a variational inequality problem and a fixed point problem in a uniformly convex and 2-smooth Banach spaces

Strong convergence theorems for finding a common solution of a variational inequality problem and a fixed point problem in a uniformly convex and 2-smooth Banach spaces

... Halpern iterative scheme for finding a common element of two sets of solutions of variational inequality problem and the set of fixed points of a finite family of nonexpansive mappings and the set of ... See full document

19

Viscosity iterative algorithms for variational inequality

Viscosity iterative algorithms for variational inequality

... Recently, the classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references therein. In this paper, we ... See full document

9

Approximation of common solutions for variational inequalities and fixed point of strict pseudo-contractions in q-uniformly smooth Banach spaces

Approximation of common solutions for variational inequalities and fixed point of strict pseudo-contractions in q-uniformly smooth Banach spaces

... and we prove that the proposed iterative algorithm is strongly convergent under some mild conditions imposed on the algorithm parameters. The results proved in this paper represent a refinement and improvement of ... See full document

17

New Iterative Scheme for Finite Families of Equilibrium, Variational Inequality, and Fixed Point Problems in Banach Spaces

New Iterative Scheme for Finite Families of Equilibrium, Variational Inequality, and Fixed Point Problems in Banach Spaces

... new iterative process with a finite family of quasi-φ-nonexpansive mappings for a finite family of equilibrium problems and a finite family of variational inequality problems in a Banach ... See full document

18

A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

... 28 Ya. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. ... See full document

18

The convergence theorems of Ishikawa iterative process with errors for Φ-hemi-contractive mappings in uniformly smooth Banach spaces

The convergence theorems of Ishikawa iterative process with errors for Φ-hemi-contractive mappings in uniformly smooth Banach spaces

... Keywords: generalized Lipschitz mapping; -hemi-contractive mapping; Ishikawa iterative sequence with errors; uniformly smooth real Banach space.. 1 Introduction and preliminary.[r] ... See full document

11

Fixed point variational solutions for uniformly continuous pseudocontractions in Banach spaces

Fixed point variational solutions for uniformly continuous pseudocontractions in Banach spaces

... reflexive Banach space E with a uniformly Gˆateaux di ff erentiable ...a uniformly continuous pseudocontraction and let f : K → K be a contraction ... See full document

12

Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

... Lemma . ([]) Let E be a reflexive, strictly convex and smooth Banach space such that both E and E ∗ have the Kadec-Klee property. Let C be a nonempty closed convex subset of E. Let T : C → C be a closed ... See full document

17

Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

... of variational inequalities [, ] has emerged as an impor- tant tool to study a wide class of problems from science, engineering, social ...a variational inequality problem is a set of fixed points ... See full document

24

A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in q-uniformly smooth Banach spaces

A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in q-uniformly smooth Banach spaces

... where T is a nonexpansive mapping of K into itself and f is a contraction on K. They obtained a strong convergence theorem under some mild restrictions on the parameters. Zhou [] and Qin et al. [] modified normal ... See full document

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