Gamma-distance; Ekeland's variational principle; Equilibrium problems; Quasi-F-metric space
Issue Date
2019-09
Publisher
SPRINGEROPEN
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, v. 2019, no. 1, article no. 250
Abstract
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.