On certain conditions for the existence of solutions of equilibrium problems

被引：138
作者：
Iusem, Alfredo N. [1 ]
Kassay, Gabor [2 ]
Sosa, Wilfredo [3 ]
机构：
[1] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil
[2] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca, Romania
[3] Univ Nacl Ingn, Inst Matemat & Ciencias Afines, Lima, Peru
来源：
MATHEMATICAL PROGRAMMING | 2009年 / 116卷 / 1-2期
关键词：
equilibrium problems; convex feasibility problems;
D O I：
10.1007/s10107-007-0125-5
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The main purpose of this paper is the study of sufficient and/or necessary conditions for existence of solutions of equilibrium problems. We discuss some of the assumptions of the problem, under which the introduced conditions are sufficient and/or necessary, and also analyze the effect of these assumptions on the connection between the solution sets of the equilibrium problem and of a related convex feasibility problem.
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页码：259 / 273
页数：15
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