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Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

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  • Mujahid Abbas
  • Manuel De la Sen
  • Talat Nazir

Abstract

We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

Suggested Citation

  • Mujahid Abbas & Manuel De la Sen & Talat Nazir, 2015. "Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, November.
    • Handle: RePEc:hin:jnddns:147303
    DOI: 10.1155/2015/147303
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