A Generalized Variational Principle and Its Application to Equilibrium Problems

被引：7

作者：

Farkas, Csaba ^{[1
]}

Molnar, Andrea Eva ^{[1
]}

机构：

[1] Univ Babes Bolyai, R-3400 Cluj Napoca, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 02期

关键词：

Equilibrium problem; System of equilibrium problems; Approximate solution; Ekeland-type variational principles; Zhong type variational principles; SYSTEM;

D O I：

10.1007/s10957-012-0101-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we prove a generalized Ekeland-type variational principle for bifunctions, by showing the existence of solution for some generalized optimization problems. In a particular case, from this result, we obtain a Zhong-type variational principle for bifunctions, which may be important from algorithmic point of view, because the solution can be localized in a sphere. Contrary to the standard literature, we are able to guarantee the existence of solution without assuming the triangle property.

引用

页码：213 / 231

页数：19

共 18 条

[1] Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory [J].