Results 1 to 10 of about 8,898 (310)
Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]
Journal 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
Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space.
Lu-Chuan Ceng +2 more
doaj +2 more sources
On the General Variational Inequality
Journal of Mathematical Analysis and Applications, 1993 Given \(f,g: R^ n\to R^ n\) nonlinear mappings and \(K\), a closed convex set in \(R^ n\), the author considers the problem of finding \(u\in K\) such that (1) \(\langle f(u), g(v)- g(u)\rangle\geq 0\) for all \(v\in K\), which is known as a general variational inequality problem, being a special case of the problem as formulated by the reviewer [Appl.
Yao, J.C.
openaire +2 more sources
Gap Functions and Algorithms for Variational Inequality Problems [PDF]
Journal of Applied Mathematics, 2013 We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis.
Congjun Zhang, Baoqing Liu, Jun Wei
doaj +2 more sources
A New System of Multivalued Mixed Variational Inequality Problem [PDF]
Abstract and Applied Analysis, 2014 We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases.
Xi Li, Xue-song Li
doaj +2 more sources
On Solvability of a Generalized Nonlinear Variational-Like Inequality
Journal of Inequalities and Applications, 2009 A new generalized nonlinear variational-like inequality is introduced and studied. By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generalized nonlinear variational-like inequality. By
Ume JeongSheok +3 more
doaj +1 more source
Aggregative Variational Inequalities
Journal of Optimization Theory and Applications, 2023 AbstractWe enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium
von Mouche, Peter Hubert Mathieu +1 more
openaire +2 more sources
Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
doaj +1 more source
Journal of Inequalities and Applications, 2020 This paper deals with solvability and algorithms for a new class of generalized nonlinear variational-like inequalities in reflexive Banach spaces. By employing the Banach’s fixed point theorem, Schauder’s fixed point theorem, and FanKKM theorem, we ...
Haiyan Gao, Lili Wang, Liangshi Zhao
doaj +1 more source
On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
doaj +1 more source