On generalized variational inequalities

Authors:
M. Fakhar;J. Zafarani
Affiliations:
Department of Mathematics, University of Isfahan, Isfahan, Iran 81745-163 and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran;Sheikhbahaee University and University of Isfahan, Isfahan, Iran 81745-163
Venue:
Journal of Global Optimization
Year:
2009

Citing 3
Cited 1

Seven kinds of monotone maps

Journal of Optimization Theory and Applications
Quasimonotone variational inequalities in Banach spaces

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On the solution existence of pseudomonotone variational inequalities

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On the Brézis Nirenberg Stampacchia-type theorems and their applications

Journal of Global Optimization

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Abstract

We obtain a new version of the minimax inequality of Ky Fan. As an application, an existence result for the generalized variational inequality problem with set-valued mappings defined on noncompact sets in Hausdorff topological vector spaces is given. Also, some existence results for the generalized variational inequality problem for quasimonotone and pseudomonotone mappings are obtained.