Ekeland Variational Principle and Some of Its Equivalents on a Weighted Graph, Completeness and the OSC Property

We prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph <i>G</i> and its equivalence to Caristi fixed point theorem and to the Takahashi minimization principle. The usual completeness and topological notions are replaced with some weaker versions expressed in t...

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Bibliographic Details
Main Authors: Basit Ali, Ştefan Cobzaş, Mokhwetha Daniel Mabula
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/3/247