Existence of nonzero solutions for a class of generalized variational inequalities

Existence of nonzero solutions for a class of generalized variational inequalities The existence of nonzero solutions for a class of generalized variational inequalities is studied by topological degree theory for multi-valued mappings in finite dimensional spaces and reflexive Banach space. One of the mappings concerned here is nonlinear with coercive or monotone and other is set-contractive or upper semi-continuous. Under some suitable assumptions, some existence theorems of nonzero solutions for this generalized variational inequalities are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Existence of nonzero solutions for a class of generalized variational inequalities

Positivity , Volume 12 (4) – Mar 12, 2008

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science + Business Media B.V.
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-008-2132-z
Publisher site
See Article on Publisher Site

Abstract

The existence of nonzero solutions for a class of generalized variational inequalities is studied by topological degree theory for multi-valued mappings in finite dimensional spaces and reflexive Banach space. One of the mappings concerned here is nonlinear with coercive or monotone and other is set-contractive or upper semi-continuous. Under some suitable assumptions, some existence theorems of nonzero solutions for this generalized variational inequalities are obtained.

Journal

PositivitySpringer Journals

Published: Mar 12, 2008

References

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