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Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Department of Mathematics, COMSATS Institute of Information Technology. (MAM)ORCID iD: 0000-0001-6516-3212
2016 (English)In: Engineering Mathematics II: Algebraic, Stochastic and Analysis Structures for Networks, Data Classification and Optimization / [ed] Sergei Silvestrov; Milica Rančić, Springer, 2016Chapter in book (Refereed)
Abstract [en]

In this paper, the existence of coincidence points and common fixed points for multivalued mappings satisfying certain graphic ψ- contraction contractive conditions with set-valued domain endowed with a graph, without appealing to continuity, is established. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.

Place, publisher, year, edition, pages
Springer, 2016.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 179
Keyword [en]
multivalued mapping, domain of sets, coincidence point, common fixed point, graph ψ-contraction pair, directed graph
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33091DOI: 10.1007/978-3-319-42105-6_19Scopus ID: 2-s2.0-85013016921ISBN: 978-3-319-42104-9 (print)ISBN: 978-3-319-42105-6 (print)OAI: oai:DiVA.org:mdh-33091DiVA: diva2:963087
Projects
FUSION
Available from: 2016-09-08 Created: 2016-09-07 Last updated: 2017-03-02Bibliographically approved

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