Optimization · 2004 · 37 citations · 10 references
Natural SciencesMathematicsSet TheoryExistence TheoremsExistence TheoryVariational FormulationVariational InequalitiesConstrained Variational ProblemsExistence ConditionsSet-valued Variational InequalitiesVariational ConstraintsVariational Inequalities In MechanicsVariational Inequality Existence TheoremsVariational Inequality ProblemsVariational Inequality Theory
In this article we study a general variational inclusion problem with constraints. An existence theorem is given for the scalar problem which allows us to derive several results on existence of solutions of variational inequality and variational inclusion models in which the set-valued data are present.
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A generalization of Tychonoff's fixed point theorem
Ky Fan · Mathematische Annalen · 1961 · 965 citations
Nonlinear analysis and applications
J. M. T. Thompson · Applied Mathematical Modelling · 1988 · 83 citations