Results 1 to 10 of about 528,043 (190)

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   +3 more sources

Variational inequality problems in H-spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The concept of η-invex set is explored and the concept of T-η-invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces.
Akrur Behera, Prasanta Kumar Das
doaj   +3 more sources

Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators

open access: yes, 2021
In this paper, we propose a new inertial Tseng's extragradient iterative algorithm for solving variational inequality problems of pseudo-monotone and non-Lipschitz operator in real Hilbert spaces.
G. Cai, Y. Shehu, O. Iyiola
semanticscholar   +1 more source

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

Self-adaptive inertial extragradient algorithms for solving variational inequality problems [PDF]

open access: yesComputational and Applied Mathematics, 2020
In this paper, we study the strong convergence of two Mann-type inertial extragradient algorithms, which are devised with a new step size, for solving a variational inequality problem with a monotone and Lipschitz continuous operator in real Hilbert ...
Bing Tan, Jingjing Fan, Songxiao Li
semanticscholar   +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

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

Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak ...
Ildar Sadeqi, Somayeh Nadi
doaj   +1 more source

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   +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

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