Ekeland variational principle and some of its equivalents on a weighted graph, completeness and the OSC property

dc.contributor.authorAli, Basit
dc.contributor.authorCobzas, Stefan
dc.contributor.authorMabula, M.D.
dc.date.accessioned2023-11-13T06:33:54Z
dc.date.available2023-11-13T06:33:54Z
dc.date.issued2023-03
dc.description.abstractWe prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph G 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 graph G. The main tool used in the proof is the OSC property for sequences in a graph. Converse results, meaning the completeness of weighted graphs for which one of these principles holds, are also considered.en_US
dc.description.departmentMathematics and Applied Mathematicsen_US
dc.description.urihttps://www.mdpi.com/journal/axiomsen_US
dc.identifier.citationAli, B.; Cobzaş, Ş.; Mabula, M.D. Ekeland Variational Principle and Some of Its Equivalents on a Weighted Graph, Completeness and the OSC Property. Axioms 2023, 12, 247. https://doi.org/10.3390/axioms12030247.en_US
dc.identifier.issn2075-1860 (online)
dc.identifier.other10.3390/axioms12030247
dc.identifier.urihttp://hdl.handle.net/2263/93236
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.rights© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).en_US
dc.subjectEkeland variational principleen_US
dc.subjectTakahashi minimization principleen_US
dc.subjectCaristi fixed point theoremen_US
dc.subjectWeighted graphen_US
dc.subjectPartially ordered metric spaceen_US
dc.subjectCompletenessen_US
dc.subjectOSC propertyen_US
dc.subjectEkeland variational principle (EkVP)en_US
dc.titleEkeland variational principle and some of its equivalents on a weighted graph, completeness and the OSC propertyen_US
dc.typeArticleen_US

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