Results 1 to 10 of about 1,851 (265)

Gap functions for quasi-variational inequalities via duality. [PDF]

J Inequal Appl, 2018
This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
Altangerel L.
europepmc   +2 more sources

Sensitivity Analysis in Variational Inequalities [PDF]

Mathematics of Operations Research, 1988
In this paper we derive conditions for the local uniqueness, continuity and differentiability of a solution of parametric variational inequalities. Our approach is new and has a strong geometric flavor. As an illustration we discuss the sensitivity of the classical complementarity problem.
exaly   +3 more sources

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, Szidarovszky, Ferenc   +1 more
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Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Journal of Function Spaces, 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide ...
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem   +4 more
doaj   +1 more source

Differential variational inequalities [PDF]

Mathematical Programming, 2007
This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Jong-Shi Pang, David E. Stewart
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Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

Journal of Inequalities and Applications, 2009
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases.
Zeqing Liu, Lin Chen, Jeong Sheok Ume, Shin Min Kang   +3 more
doaj   +2 more sources

The Solvability of a Class of General Nonlinear Implicit Variational Inequalities Based on Perturbed Three-Step Iterative Processes with Errors

Fixed Point Theory and Applications, 2008
We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases.
Jeong Sheok Ume, Shin Min Kang, Zeqing Liu   +2 more
doaj   +2 more sources

On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities

Journal of Mathematical Analysis and Applications, 1993
Il s'agit d'étudier le problème de l'existence de solutions pour une classe d'inégalités variationnelles généralisées et quasi- variationelles en hypothèses faibles. De cette manière les auteurs atteindent des résultats, qui étendent les résultats de \textit{F. E. Browder} [Math. Ann. 177,283-301 (1968; Zbl 0176.452)] et de \textit{P.
Chang, S.S., Zhang, C.J.
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On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities

Journal of Mathematical Analysis and Applications, 1996
The paper deals with two kinds of variational inequality problems: 1. (Generalized nonlinear variational inequality problem -- GNVI\((T,g,b,X)\)) Find \(\widehat x\in X\) and \(\widehat w\in T\widehat x\) such that \[ \text{Re}\langle\widehat w,g(\widehat x) -g(y)\rangle+ b(\widehat x,\widehat x)- b(\widehat x,y)\geq 0\;\forall y\in X; \] 2 ...
Yu, Su-Jane, Yao, Jen-Chih
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Some Aspects of Extended General Variational Inequalities

Abstract and Applied Analysis, 2012
Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
doaj   +1 more source