A generalization of Ekeland’s variational principle by using the τ-distance with its applications

Journal of Inequalities and Applications

A Hoseinpour¹  S Plubtieng¹  AP Farajzadeh² 

[1] Department of Mathematics, Faculty of Science, Naresuan University;Department of Mathematics, Razi University;

关键词: τ-distance;    Ekeland’s variational principle;    equilibrium problem;    bounded below;    lower semicontinuous function;   

DOI  :  10.1186/s13660-017-1435-7

来源: DOAJ

【 摘 要 】

Abstract In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated. Moreover, by using it, two versions of existence results of a solution for the equilibrium problem in the setting of complete metric spaces are investigated. Finally some examples in order to illustrate the results of this note are given.

【 授权许可】

Unknown