On mixed variational relation problems

Authors:
Mircea Balaj;Dinh The Luc
Affiliations:
University of Oradea, Romania;LANG, University of Avignon, France
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 5
Cited 1

Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint

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Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems

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Solution semicontinuity of parametric generalized vector equilibrium problems

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Simultaneous variational relation problems and related applications

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On the existence of solutions to quasivariational inclusion problems

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Mixed generalized quasi-equilibrium problems

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Abstract

In this paper we exploit the method of variational relations to establish existence of solutions to a general inclusion problem. The result is applied to variational relation problems in which several relations are simultaneously considered. Particular cases of variational inclusion and intersection of set-valued maps are also discussed.