Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.

Bibliographic Details
Main Authors: Eshagh Hashemi, Reza Saadati
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Mathematics
Subjects:
Ekeland variational principle
minimization theorem
fixed point
γ-function
quasi-G-metric
Online Access:http://www.mdpi.com/2227-7390/6/6/93

Internet

http://www.mdpi.com/2227-7390/6/6/93

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