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Fixed point results for set-contractions on semi-metric space with a directed graph
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa.ORCID iD: 0000-0001-6516-3212
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa.ORCID iD: 0000-0001-9320-8617
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa.ORCID iD: 0000-0001-8603-8533
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2025 (English)In: Applied General Topology, ISSN 1576-9402, Vol. 26, no 2, p. 617-631Article in journal (Refereed) Published
Abstract [en]

In this paper, fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and generalize many results in the existing literature.
Place, publisher, year, edition, pages
Universitat Politecnica de Valencia , 2025. Vol. 26, no 2, p. 617-631
Keywords [en]
fixed point, semi-metric space, gengeralized graph contractionn, multi-valued mapping, directed graph
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-73836DOI: 10.4995/agt.2025.21706ISI: 001594520300003Scopus ID: 2-s2.0-105018515036OAI: oai:DiVA.org:mdh-73836DiVA, id: diva2:2009192
Available from: 2025-10-27 Created: 2025-10-27 Last updated: 2026-04-22Bibliographically approved

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Publisher's full textScopushttps://polipapers.upv.es/index.php/AGT/article/view/21706

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Silvestrov, Sergei

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