STRONG COUPLED FIXED POINTS OF $\alpha$-ADMISSIBLE REICH TYPE COUPLED MAPPINGS IN $S$-METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 215

Abstract

In this paper, we introduce $\alpha$-admissible Reich type cyclic coupled mapping and $\alpha$-admissible Reich type coupled mapping in $S$-metric spaces and prove the existence and uniqueness of strong coupled fixed points of such mappings. We give illustrative examples to check the validity of our results.

Keywords and Phrases

$S$-metric space, cyclic mapping, coupled fixed point, strong coupled fixed point, $\alpha$-admissible Reich type cyclic coupled mapping, $\alpha$-admissible Reich type coupled mapping.

A.M.S. subject classification

47H10, 54H25.

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