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Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

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  • Saurabh Manro
  • Sanjay Kumar
  • S. S. Bhatia
  • Kenan Tas

Abstract

This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise -weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.

Suggested Citation

  • Saurabh Manro & Sanjay Kumar & S. S. Bhatia & Kenan Tas, 2013. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, May.
    • Handle: RePEc:hin:jnljam:189321
    DOI: 10.1155/2013/189321
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