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Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces

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  • Mujahid Abbas
  • Manuel De la Sen
  • Talat Nazir

Abstract

The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

Suggested Citation

  • Mujahid Abbas & Manuel De la Sen & Talat Nazir, 2015. "Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-10, July.
    • Handle: RePEc:hin:jnddns:532725
    DOI: 10.1155/2015/532725
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    Cited by:

    1. Abbas, Mujahid & Anjum, Rizwan & Iqbal, Hira, 2022. "Generalized enriched cyclic contractions with application to generalized iterated function system," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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