Generalized Ekeland's variational principle with applications

被引：1

作者：

Hashemi, Eshagh ^{[1
]}

Saadati, Reza ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Islamic Azad Univ, Qaemshar Branch, Sch Math, Qaemshar, Iran

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Seoul, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Gamma-distance; Ekeland's variational principle; Equilibrium problems; Quasi-F-metric space; VARIANTS;

D O I：

10.1186/s13660-019-2207-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the concept of Gamma-distance, we prove EVP (Ekeland's variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m spaces with Gamma-distances. Also, we generalize Nadler's fixed point theorem.

引用

页数：13

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