On the Brezis Nirenberg Stampacchia-type theorems and their applications

M. Fakhar; M. Lotfipour; J. Zafarani

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On the Brezis Nirenberg Stampacchia-type theorems and their applications

机译：关于Brezis Nirenberg Stampacchia型定理及其应用

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摘要

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.

机译：本文在一个新的矫顽力条件和相交闭合性条件下获得了几个新的广义KKM型定理，从而改善了传递闭合性条件。作为应用，我们获得了1人游戏的均衡问题，极小极大不等式，重合定理，不动点定理和存在性定理的新版本。

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来源
《Journal of Global Optimization》 |2013年第4期|751-770|共20页
作者
M. Fakhar; M. Lotfipour; J. Zafarani;
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作者单位

Department of Mathematics, Faculty of Sciences, University of Isfahan, 81745-163 Isfahan, Iran;

Department of Mathematics, Faculty of Sciences, University of Isfahan, 81745-163 Isfahan, Iran;

Department of Mathematics, Faculty of Sciences, University of Isfahan, 81745-163 Isfahan, Iran,Sheikhbahaee University, 81745-163 Isfahan, Iran;

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正文语种 eng
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关键词
KKM map; intersectionally closed; C-intersectionally upper continuous; C-topological pseudomonotone;

机译：KKM地图;交叉封闭C-相交的上部连续;C拓扑伪单调;

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On the Brezis Nirenberg Stampacchia-type theorems and their applications

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