Results 11 to 20 of about 2,195 (213)

Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
doaj   +2 more sources

An Extragradient Method for Fixed Point Problems and Variational Inequality Problems

open access: yesJournal of Inequalities and Applications, 2007
We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality
Yonghong Yao   +2 more
doaj   +4 more sources

Deterministic Bi-Criteria Model for Solving Stochastic Mixed Vector Variational Inequality Problems

open access: yesMathematics, 2023
In this paper, we consider stochastic mixed vector variational inequality problems. Firstly, we present an equivalent form for the stochastic mixed vector variational inequality problems.
Meiju Luo, Menghan Du, Yue Zhang
doaj   +1 more source

Gap functions and error bounds for random generalized variational inequality problems

open access: yesJournal of Inequalities and Applications, 2016
This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we ...
Suhel Ahmad Khan   +2 more
doaj   +1 more source

The Existence Problems of Solutions for a Class of Differential Variational–Hemivariational Inequality Problems

open access: yesMathematics, 2023
In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang   +4 more
doaj   +1 more source

A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems

open access: yesFixed Point Theory and Applications, 2008
We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a
Liou Yeong-Cheng   +2 more
doaj   +2 more sources

Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization

open access: yesOpen Mathematics, 2019
The existing results on the variational inequality problems for fuzzy mappings and their applications were based on Zadeh’s decomposition theorem and were formally characterized by the precise sets which are the fuzzy mappings’ cut sets directly. That is,
Xie Ting, Gong Zengtai
doaj   +1 more source

Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems

open access: yesFixed Point Theory and Applications, 2009
We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points of finite many nonexpansive mappings.
Li HongZhi, Li HongYu
doaj   +2 more sources

Local Sharp Vector Variational Type Inequality and Optimization Problems

open access: yesMathematics, 2020
In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
doaj   +1 more source

Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
In this paper, we establish an iterative algorithm by combining Yamada’s hybrid steepest descent method and Wang’s algorithm for finding the common solutions of variational inequality problems and split feasibility problems. The strong convergence of the
Panisa Lohawech   +2 more
doaj   +1 more source

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