Results 1 to 10 of about 5,112,881 (210)
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. [PDF]
J Optim Theory Appl, 2018 In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is
Vuong PT.
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Gap functions for quasi-variational inequalities via duality [PDF]
Journal of Inequalities and Applications, 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.
L Altangerel
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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.
Stella Dafermos
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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
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New Trends in General Variational Inequalities [PDF]
, 2020 It is well known that general variational inequalities provide us with a unified, natural, novel and simple framework to study a wide class of unrelated problems, which arise in pure and applied sciences.
M. Noor, K. Noor, M. Rassias
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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 +4 more
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Golden ratio algorithms for variational inequalities [PDF]
Mathematical programming, 2018 The paper presents a fully adaptive algorithm for monotone variational inequalities. In each iteration the method uses two previous iterates for an approximation of the local Lipschitz constant without running a linesearch.
Yura Malitsky
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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 +3 more
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Inexact model: a framework for optimization and variational inequalities [PDF]
Optim. Methods Softw., 2019 In this paper, we propose a general algorithmic framework for the first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities (VIs).
F. Stonyakin +9 more
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