An abstract metric space and some fixed point theorems with an application to Markov process
- Resource Type
- Article
- Authors
- Roy, Kushal; Saha, Mantu
- Source
- The Journal of Analysis; March 2022, Vol. 30 Issue: 1 p63-78, 16p
- Subject
- Language
- ISSN
- 09713611; 23672501
In this paper we introduce the concept of a new metric-type space named as extended JS-generalized metric space and establish some Banach-type fixed point theorems on such space. We also discuss about the topology of such spaces and prove a theorem like Cantor’s intersection theorem therein. Some examples are given in strengthening the hypothesis of our theorems. Moreover our fixed point result is applied to Markov process for finding a stationary distribution.