On the Brézis Nirenberg Stampacchia-type theorems and their applications

M. Fakhar (), M. Lotfipour () and J. Zafarani ()

Journal of Global Optimization, 2013, vol. 55, issue 4, 770 pages

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: KKM map; Intersectionally closed; C-intersectionally upper continuous; C-topological pseudomonotone (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9965-5

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