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Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces

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  • Deshpande, Bhavana

Abstract

The aim of this paper is to show that a common fixed point theorem can be proved for nonlinear contractive condition in intuitionistic fuzzy metric spaces without assuming continuity of any mappings. To prove the result we use new commutativity condition for mappings weaker than compatibility of mappings.

Suggested Citation

  • Deshpande, Bhavana, 2009. "Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2722-2728.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2722-2728
    DOI: 10.1016/j.chaos.2009.03.178
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    1. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
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    5. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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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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