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Some Periodic Point and Fixed Point Results in Multiplicative Metric Spaces

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Stochastic Processes, Statistical Methods, and Engineering Mathematics (SPAS 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 408))

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Abstract

We investigate the periodic points and common fixed point of generalized contraction map**s self-map**s in the setup of multiplicative metric spaces. We also study the well-posedness for the obtained results. The common fixed point results of map**s involved in the cyclic representation are also obtained. Moreover, some applications to obtain the common solution of integral equations are presented.

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Acknowledgements

Talat Nazir is grateful to ERUSMUS MUNDUS “Featured europe and South/south-east Asia mobility Network FUSION” and its Swedish node, MAM research milieu in Mathematics and Applied Mathematics, Division of Mathematics and Physics, School of Education, Culture and Communication at Mälardalen University for support and excellent research and research education environment during his visits.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of South Africa, Florida, 0003, South Africa

    Talat Nazir

  2. Division of Mathematics and Physics, School of Education, Culture and Communication, Mälardalen University, Box 883, 72123, Västerås, Sweden

    Sergei Silvestrov

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

Editor information

Editors and Affiliations

  1. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

  2. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Ying Ni

  3. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Milica Rančić

  4. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

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Nazir, T., Silvestrov, S. (2022). Some Periodic Point and Fixed Point Results in Multiplicative Metric Spaces. In: Malyarenko, A., Ni, Y., Rančić, M., Silvestrov, S. (eds) Stochastic Processes, Statistical Methods, and Engineering Mathematics . SPAS 2019. Springer Proceedings in Mathematics & Statistics, vol 408. Springer, Cham. https://doi.org/10.1007/978-3-031-17820-7_17

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