Results 21 to 30 of about 49 (37)

The convergence analysis of the projection methods for a system of generalized relaxed cocoercive variational inequalities in Hilbert spaces

open access: yesFixed Point Theory and Applications, 2013
In this paper, the approximate solvability for a system of generalized relaxed cocoercive nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of the projection methods.
Yifen Ke, Changfeng Ma
semanticscholar   +2 more sources

MODIFIED POPOV'S SUBGRADIENT EXTRAGRADIENT ALGORITHM WITH INERTIAL TECHNIQUE FOR EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS

open access: yes, 2020
In this paper, we are introducing a new algorithm that is based on a subgradient and an inertial scheme using an explicit method for step size evaluation to solve pseudomonotone equilibrium problems.
N. Wairojjana   +3 more
semanticscholar   +1 more source

Existence and approximation of solutions for generalized extended nonlinear variational inequalities

open access: yesJournal of Inequalities and Applications, 2013
In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem.
B. Thakur, M. Postolache
semanticscholar   +1 more source

Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2014
We give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive mappings. We present a scheme that combines the idea of an extragradient method and a successive iteration method as
D. D. Thanh
semanticscholar   +1 more source

Existence and approximation of solutions for system of generalized mixed variational inequalities

open access: yesFixed Point Theory and Applications, 2013
The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique.
B. Thakur, M. Khan, S. Kang
semanticscholar   +1 more source

A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem

open access: yesEURO Journal on Computational Optimization, 2019
The plain Newton-min algorithm for solving the linear complementarity problem (LCP) “0⩽x⊥(Mx+q)⩾0” can be viewed as an instance of the plain semismooth Newton method on the equational version “min(x,Mx+q)=0” of the problem.
Jean-Pierre Dussault   +2 more
doaj   +1 more source

A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces

open access: yesDemonstratio Mathematica, 2019
We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space ...
Jolaoso Lateef Olakunle   +3 more
doaj   +1 more source

Implicit iterative method for approximating a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we introduce and study an implicit iterative method to approximate a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Further, we prove that the nets generated by the
K.R. Kazmi, S.H. Rizvi
doaj   +1 more source

A Unified Algorithm for Solving Split Generalized Mixed Equilibrium Problem, and for Finding Fixed Point of Nonspreading Mapping in Hilbert Spaces

open access: yesDemonstratio Mathematica, 2018
The purpose of this paper is to study a split generalized mixed equilibrium problem and a fixed point problem for nonspreading mappings in real Hilbert spaces.We introduce a new iterative algorithm and prove its strong convergence for approximating a ...
Jolaoso Lateef Olakunle   +3 more
doaj   +1 more source

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah   +3 more
doaj   +1 more source

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