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 terms of the...

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Hauptverfasser:	Basit Ali, Ştefan Cobzaş, Mokhwetha Daniel Mabula
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	MDPI AG 2023-02-01
Schriftenreihe:	Axioms
Schlagworte:	Ekeland variational principle Takahashi minimization principle Caristi fixed point theorem weighted graph partially ordered metric space completeness
Online-Zugang:	https://www.mdpi.com/2075-1680/12/3/247
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