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On operator equilibrium problems

Abstract

This paper is devoted to study the operator equilibrium problems. By using KKM theorem we give sufficient conditions for the existence of solutions of these problems. As a consequence, existence of solutions for operator variational inequalities and operator minimization problems are derived.

Keywords

operator equilibrium problems, Cf-upper semicontinuity, natural quasi P-convexity, closedness

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Author Biography

Júlia Salamon