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Generalized Ekeland's variational principle with applicationsopen access
- Authors
- Hashemi, Eshagh; Saadati, Reza; Park, Choonkil
- Issue Date
- Sep-2019
- Publisher
- SPRINGEROPEN
- Keywords
- Gamma-distance; Ekeland' s variational principle; Equilibrium problems; Quasi-F-metric space
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2019, no.1, pp.1 - 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2019
- Number
- 1
- Start Page
- 1
- End Page
- 13
- ISSN
- 1025-5834
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)