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Random Variational Inequality and Complementarity Problem

OPSEARCH, 2005
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Nanda, S., Pani, S.
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The Generalized Quasi-Variational Inequality Problem

Mathematics of Operations Research, 1982
In this paper, we introduce the generalized quasi-variational inequality problem and develop a theory for the existence of solution. This new problem includes as special cases two existing generalizations of the classical variational inequality problem. Relationship with a certain implicit complementarity problem is also studied.
Chan, D., Pang, J. S.
openaire   +1 more source

Variational Inequality Problems

2012
The purpose of this chapter is to explain variational inequality (VI) formulations of equilibrium problems, and the close connection of a VI problem to an equivalent complementarity problem. There are sometimes advantages to a VI formulation compared to a complementarity formulation: the complementarity formulation has primal decision variables, and ...
Steven A. Gabriel   +4 more
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Pseudomonotone variational inequality problems

Mathematical Programming, 1997
Necessary and sufficient conditions for the set of solutions of a pseudomonotone variational inequality problem to be nonempty and compact are given..
openaire   +3 more sources

Topological Variants of Vector Variational Inequality Problem

La Matematica, 2022
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Satish Kumar   +2 more
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Nonsmooth problems; variational inequalities

2012
Many problems in physics and in other applications cannot be formulated as equations but have some more complicated structure, usually of a so-called complementarity problem. From the abstract viewpoint, the equations are replaced by inclusions involving set-valued mappings.
openaire   +1 more source

Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems

Optimization, 2020
In this paper, we study a classical monotone and Lipschitz continuous variational inequality and fixed point problems defined on a level set of a convex function in the setting of Hilbert space.
T. O. Alakoya, L. Jolaoso, O. Mewomo
semanticscholar   +1 more source

A simple projection method for solving quasimonotone variational inequality problems

Optimization and Engineering, 2022
C. Izuchukwu, Y. Shehu, Jen-Chih Yao
semanticscholar   +1 more source

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