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 : 267

Volume : 17 , Issue : 3
DOI:
Author :
G. V. R. Babu (Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, INDIA)
P. Durga Sailaja (Department of Mathematics, Lendi Institute of Engineering and Technology, Vizianagaram - 535005, Andhra Pradesh, INDIA)
G. Srichandana (Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, INDIA)

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.

.....

Download PDF 267 Click here to Subscribe now