An abstract metric space and some fixed point theorems with an application to Markov process. (English) Zbl 1483.54035
Summary: 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.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
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