On certain conditions for the existence of solutions of equilibrium problems

被引：145

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.

引用

页码：259 / 273

页数：15

共 21 条

[1] Coercivity conditions for equilibrium problems [J].

Bianchi, M ;

Pini, R .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 124 (01) :79-92

[2] A note on equilibrium problems with properly quasimonotone bifunctions [J].

Bianchi, M ;

Pini, R .

JOURNAL OF GLOBAL OPTIMIZATION, 2001, 20 (01) :67-76

[3] Generalized monotone bifunctions and equilibrium problems [J].

Bianchi, M ;

Schaible, S .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 90 (01) :31-43

[4]

Blum E., 1994, MATH STUDENT, V63, P123

[5]

BREZIS H, 1983, ANA FONCTIONELLE THE

[6]

Brezis H., 1972, Boll. Un. Mat. Ital., V6, P293

[7] A GENERALIZATION OF TYCHONOFF FIXED POINT THEOREM [J].

FAN, K .

MATHEMATISCHE ANNALEN, 1961, 142 (03) :305-310

[8]

Fan K., 1972, A minimax inequality and applications, inequalities III, P103

[9] Existence theory for finite-dimensional pseudomonotone equilibrium problems [J].

Flores-Bazán, F .

ACTA APPLICANDAE MATHEMATICAE, 2003, 77 (03) :249-297

[10] Existence theorems for generalized noncoercive equilibrium problems:: The quasi-convex case [J].

Flores-Bazán, F .

SIAM JOURNAL ON OPTIMIZATION, 2001, 11 (03) :675-690

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