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Generalized Ekeland's variational principle with applications

Title
Generalized Ekeland's variational principle with applications
Author
박춘길
Keywords
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.
URI
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2207-3https://repository.hanyang.ac.kr/handle/20.500.11754/153892
ISSN
1029-242X
DOI
10.1186/s13660-019-2207-3
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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