Generalized Ekeland’s variational principle with applications

Abstract By using the concept of Γ-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 Γ-distances. Also, we generalize Nadler’s fixed point theorem....

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Bibliographic Details
Main Authors: Eshagh Hashemi, Reza Saadati, Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2207-3