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http://dx.doi.org/10.7468/jksmeb.2021.28.1.1

SOME NEW APPLICATIONS OF S-METRIC SPACES BY WEAKLY COMPATIBLE PAIRS WITH A LIMIT PROPERTY  

Afra, J. Mojaradi (Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University Lahijan)
Sabbaghan, M. (Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University Lahijan)
Publication Information
The Pure and Applied Mathematics / v.28, no.1, 2021 , pp. 1-13 More about this Journal
Abstract
In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.
Keywords
S-metric spaces; fixed point; weakly compatible; limit property; dynamic programming; integral equation;
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