Some coupled fixed point theorems in M- fuzzy metric spaces using the common (E.A) property

Volume 5 Issue 4 October - December 2016

Research Paper

Some coupled fixed point theorems in M- fuzzy metric spaces using the common (E.A) property

Pranjali Sharma*, Shailesh Dhar Diwan**

* Senior Assistant Professor, Department of Mathematics, Shri Shankaracharya Institute of Prof. Mgmt. and Tech., Raipur (C.G.), India.

** Associate Professor, Department of Mathematics, Government Engineering College, Raipur (C.G.), India.

Sharma, P., and Diwan, S.D. (2016). Some Coupled Fixed Point Theorems in M-Fuzzy Metric Spaces using the Common (E.A.) Property. i-manager’s Journal on Mathematics, 5(4), 20-29. https://doi.org/10.26634/jmat.5.4.8307

Abstract

In this paper, the authors have defined some properties in M-fuzzy metric spaces defined by Sedgi and Shobe [15] and they established some common coupled fixed point theorems in M-fuzzy metric space using an implicit relation. They defined the notion of (E.A.) property and common (E.A.) property for the pair of mappings defined in — fuzzy metric space. The obtained results extend, generalize, and improve several results of D - metric spaces defined by Dhage [3] and metric spaces to generalized fuzzy metric spaces or M-fuzzy metric spaces.