On the Brézis Nirenberg Stampacchia-type theorems and their applications

Authors:
M. Fakhar;M. Lotfipour;J. Zafarani
Affiliations:
Department of Mathematics, Faculty of Sciences, University of Isfahan, Isfahan, Iran 81745-163;Department of Mathematics, Faculty of Sciences, University of Isfahan, Isfahan, Iran 81745-163;Department of Mathematics, Faculty of Sciences, University of Isfahan, Isfahan, Iran 81745-163 and Sheikhbahaee University, Isfahan, Iran 81745-163
Venue:
Journal of Global Optimization
Year:
2013

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Abstract

In this paper, we obtain several new generalized KKM-type theorems under a new coercivity condition and the condition of intersectionally closedness which improves condition of transfer closedness. As applications, we obtain new versions of equilibrium problem, minimax inequality, coincidence theorem, fixed point theorem and an existence theorem for an 1-person game.