g or CLRST properties and weak compatibility in FMS (fuzzy metric spaces). Next, we provide some examples to support our results. Furthermore, as an application of our results we present some system of functional equations that arises in dynamic programming and prove the existence of solutions of such equations and uniqueness of the solutions of such functional equations.

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Common Fixed Point Results in Fuzzy Metric Spaces with Applications in Dynamic Programming

0*, Shailesh Dhar Diwan**
* Department of Mathematics, Shri Shankaracharya Institute Of Professional Management And Technology, Raipur, Chhattisgarh, India.
** Department of Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.
Periodicity:January - June'2020
DOI : https://doi.org/10.26634/jmat.9.1.17585

Abstract

In this paper we propose several common fixed point theorems for self mappings satisfying CLRg or CLRST properties and weak compatibility in FMS (fuzzy metric spaces). Next, we provide some examples to support our results. Furthermore, as an application of our results we present some system of functional equations that arises in dynamic programming and prove the existence of solutions of such equations and uniqueness of the solutions of such functional equations.

Keywords

FMS (Fuzzy Metric Spaces), (E. A) Property, T - Norm, Weakly Compatible Mappings, T - Conorm, CLR Property, G CLR Property.

How to Cite this Article?

Sharma, P., and Diwan, S. D. (2020). Common Fixed Point Results in Fuzzy Metric Spaces with Applications in Dynamic Programming. i-manager's Journal on Mathematics, 9(1), 38-48. https://doi.org/10.26634/jmat.9.1.17585

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