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Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces

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  • Sharma, Sushil
  • Deshpande, Bhavana

Abstract

The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on noncomplete intuitionistic fuzzy metric spaces. Our results extend, generalize and intuitionistic fuzzify several known results in fuzzy metric spaces. We give an example and also give formulas for total number of commutativity conditions for finite number of mappings.

Suggested Citation

  • Sharma, Sushil & Deshpande, Bhavana, 2009. "Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2242-2256.
  • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2242-2256
    DOI: 10.1016/j.chaos.2007.10.011
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    Cited by:

    1. Vishal Gupta & Aanchal Gondhi, 2022. "Fixed points of weakly compatible maps on modified intuitionistic fuzzy soft metric spaces," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(3), pages 1232-1238, June.

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