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Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph

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Engineering Mathematics II

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 179))

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Abstract

In this paper, the existence of coincidence points and common fixed points for multivalued mappings satisfying certain graphic \(\psi \)-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.

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Acknowledgements

Talat Nazir and Xiaomin Qi are grateful to the Erasmus Mundus project FUSION for supporting the research visit to Mälardalen University, Sweden, and to the Research environment MAM in Mathematics and Applied Mathematics, Division of Applied Mathematics, the School of Education, Culture and Communication of Mälardalen University for creating excellent research environment.

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Authors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Box 883, 721 23, Västerås, Sweden

    Talat Nazir & Sergei Silvestrov

  2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, 22060, Pakistan

    Talat Nazir

Authors
  1. Talat Nazir
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  2. Sergei Silvestrov
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Correspondence to Talat Nazir .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University,, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics,, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Nazir, T., Silvestrov, S. (2016). Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics II. Springer Proceedings in Mathematics & Statistics, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-319-42105-6_19

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