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Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space

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Abstract

In this paper, we introduce a new class of contractive mapping in intuitionistic fuzzy metric space (IFMS). We establish fixed point theorems under such contractive mapping in complete IFMS and prove a common fixed point theorem for weakly compatible mappings under ϕ-contractive conditions in IFMS.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, G. B. Pant University of Agriculture and Technology, Pantnagar, India

    Vaibhav Sharma & Sanjay Kumar

  2. Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital, India

    Mahesh Chandra Joshi

Authors
  1. Vaibhav Sharma
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  2. Mahesh Chandra Joshi
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  3. Sanjay Kumar
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Contributions

Each author have contributed equally.

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Correspondence to Sanjay Kumar.

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The Author declares that they have no conflict of interest.

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This research paper does not include any studies with human participants and animals performed by any of the authors.

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Communicated by Samy Ponnusamy.

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Sharma, V., Joshi, M.C. & Kumar, S. Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space. J Anal 29, 1375–1390 (2021). https://doi.org/10.1007/s41478-021-00317-6

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  • DOI: https://doi.org/10.1007/s41478-021-00317-6

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