Coupled Fixed Point - Applications in Partially Ordered Fuzzy Metric Spaces

Authors

  • B. S. Choudhury Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
  • P. Das Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
  • P. Bhattacharyya Department of Humanities and Basic Science, Fr. C. Rodrigues Institute of Technology, Vashi, Navi Mumbai - 400703, Maharastra, India.
  • P. Saha Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
  • P. Lata Department of Mathematics, Pratap University, Sunderpura, Jaipur, Rajasthan, India.

DOI:

https://doi.org/10.9734/bpi/ratmcs/v2/5860E

Keywords:

Fixed point, fuzzy, metric space

Abstract

In the present paper we establish a coupled fixed point result in partially ordered fuzzy metric spaces by utilizing the control function. We obtain our results for Had\(\check{z}\)i\(\acute{c}\) type t-norm. Fuzzy set theory is one of uncertainty approaches and topological structures are basic tools to construct mathematical models compatible with many real life situation. We also establish two lemmas and deduce a corollary. By an application of the fixed point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. Our work extends some existing results [1, 2, 3].

Published

2023-07-01

How to Cite

B. S. Choudhury, P. Das, P. Bhattacharyya, P. Saha, & P. Lata. (2023). Coupled Fixed Point - Applications in Partially Ordered Fuzzy Metric Spaces. Research and Applications Towards Mathematics and Computer Science Vol. 2, 16–27. https://doi.org/10.9734/bpi/ratmcs/v2/5860E

Issue

Research and Applications Towards Mathematics and Computer Science Vol. 2

Section

Chapters