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Modified Intuitionistic M-Fuzzy Metric Space and Some Common Fixed-Point Theorems

0*, Shailesh Dhar Diwan**

* Department of Applied Mathematics, Shri Shankaracharya Institute of Professional Management and Technology, Raipur, Chhattisgarh, India.

** Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

Periodicity:July - September'2019
DOI : https://doi.org/10.26634/jmat.8.3.16954

Abstract

In this paper, we modified the idea of M-fuzzy metric space defined in the work “A common fixed point theorem in two M- fuzzy metric spaces” by Sedghi and Shobein, published in the year 2007, with intuitionistic fuzzy metric space and we present the notion of modified intuitionistic M-fuzzy metric space with the help of continuous t-representable. We also prove some common fixed-point theorems for modified intuitionistic M-fuzzy metric space.

Keywords

D-Metric Space, Modified Intuitionistic Fuzzy Metric Space, T-Norm, T-Conorm, T-Representable, L*Space, Implicit Relation.

How to Cite this Article?

Sharma, P., and Diwan, S. D. (2019). Modified Intuitionistic M-Fuzzy Metric Space and Some Common Fixed-Point Theorems. i-manager's Journal on Mathematics, 8(3), 10-16. https://doi.org/10.26634/jmat.8.3.16954

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