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

G. V. R. Babu; P. Durga Sailaja; G. Srichandana

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

Volume 17, Issue 3 Pages 147-172 December 30, 2021 386 downloads

Article overview

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 spacecyclic mappingcoupled fixed pointstrong coupled fixed point$\alpha$-admissible Reich type cyclic coupled mapping$\alpha$-admissible Reich type coupled mapping.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

G. V. R. Babu, P. Durga Sailaja, G. Srichandana (2021). STRONG COUPLED FIXED POINTS OF $\alpha$-ADMISSIBLE REICH TYPE COUPLED MAPPINGS IN $S$-METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(3), 147-172.

Back to this issue