Variational inequalities with operator solutions

Authors:
A. Domokos;J. Kolumbán
Affiliations:
Department of Mathematics, Babes-Bolyai University, Str. M. Kogalniceanu 1, 3400 Cluj-Napoca, Romania(e-mail: domokos@math.ubbcluj.ro);Department of Mathematics, Babes-Bolyai University, Str. M. Kogalniceanu 1, 3400 Cluj-Napoca, Romania
Venue:
Journal of Global Optimization
Year:
2002

Citing 4
Cited 1

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Generalized Vector Variational and Quasi-Variational Inequalities with Operator Solutions

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Abstract

The aim of the present paper is to give a new kind of point of view in the theory of variational inequalities. Our approach makes possible the study of both scalar and vector variational inequalities under a great variety of assumptions. One can include here the variational inequalities defined on reflexive or nonreflexive Banach spaces, as well as the vector variational inequalities defined on topological vector spaces.