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Some fixed point results in modified intuitionistic fuzzy metric spaces

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Abstract

In this paper, we prove a new common fixed point theorem for R-weakly commuting mappings of types \((A_{g})\), R-weakly commuting mappings of type \((A_{f})\) and R-weakly commuting mappings of types (P) in modified intuitionistic fuzzy metric spaces using the common limit in the range property. An example is furnished which demonstrates the validity of the hypotheses and degree of generality of our main result.

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Acknowledgments

All authors are thankful to Professor Salvador Romaguera for a reprint of the paper [16]. The first author would like to thank the Research Professional Development Project under the Science Achievement Scholarship of Thailand (SAST) and the third author was supported by the Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission, for financial support during the preparation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand

    Wutiphol Sintunavarat & Poom Kumam

  2. R.H. Government Postgraduate College, U.S. Nagar, Kashipur, 244713, Uttarakhand, India

    Sunny Chauhan

Authors
  1. Wutiphol Sintunavarat
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  2. Sunny Chauhan
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  3. Poom Kumam
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Correspondence to Poom Kumam.

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Sintunavarat, W., Chauhan, S. & Kumam, P. Some fixed point results in modified intuitionistic fuzzy metric spaces. Afr. Mat. 25, 461–473 (2014). https://doi.org/10.1007/s13370-012-0128-0

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  • DOI: https://doi.org/10.1007/s13370-012-0128-0

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