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Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property

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  • Sunny Chauhan
  • M. Alamgir Khan
  • Wutiphol Sintunavarat

Abstract

The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend a host of previously known results including the ones contained in Imdad et al. (2012).

Suggested Citation

  • Sunny Chauhan & M. Alamgir Khan & Wutiphol Sintunavarat, 2013. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, September.
    • Handle: RePEc:hin:jnlaaa:735217
    DOI: 10.1155/2013/735217
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