Generalized Ekeland's variational principle with applications

  • Hashemi, Eshagh
  • Saadati, Reza
  • Park, Choonkil
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초록

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.

키워드

Gamma-distanceEkeland's variational principleEquilibrium problemsQuasi-F-metric spaceVARIANTS
제목
Generalized Ekeland's variational principle with applications
저자
Hashemi, EshaghSaadati, RezaPark, Choonkil
DOI
10.1186/s13660-019-2207-3
발행일
2019-09
유형
Article
저널명
Journal of Inequalities and Applications
2019
1
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1 ~ 13

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