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Common fixed points in intuitionistic fuzzy metric space

0*, Shailesh Dhar Diwan**

* Senior Assistant Professor, Department of Applied Mathematics, SSIPMT, Raipur, India.

** Associate Professor, Department of Mathematics, Government Engineering College, Raipur, India.

Periodicity:July - September'2016
DOI : https://doi.org/10.26634/jmat.5.3.8226

Abstract

In this paper, the authors have established some common fixed point theorems for Occasionally Weakly Compatible (OWC) mappings in intuitionistic fuzzy metric spaces. In this paper, using Occasionally Weakly Compatible (OWC) mappings, some common fixed point theorems for four mappings have been proved, that extend the scope of the study of common fixed point theorems from the class of weakly compatible mappings to a wider class of occasionally weakly compatible mappings. The obtained results significantly generalize and improve results of common fixed point theorems in intuitionistic fuzzy metric space. The obtained results generalize and improve several results of metric spaces and fuzzy metric spaces to intuitionistic fuzzy metric spaces using more general condition of OWC mappings. As an application to main results, they have presented some fixed point theorems for self mappings in fuzzy metric space by using an implicit relation. The paper has scope to extend the results for modified intuitionistic fuzzy metric spaces and intuitionistic m-fuzzy metric spaces.

Keywords

Intuitionistic Fuzzy Metric Space, T-Norm, T-Conorm, Compatible Mappings, Weakly Commuting Mappings, Occasionally Weakly Compatible (OWC) Mappings, Implicit Relation.

How to Cite this Article?

Sharma,P., and Diwan,S.D. (2016). Common fixed points in intuitionistic fuzzy metric space. i-manager’s Journal on Mathematics, 5(3), 32-40. https://doi.org/10.26634/jmat.5.3.8226

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