A FIXED POINT THEOREM ON ENRICHED $(\psi,\varphi_\lambda)$-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES

G. V. R. Babu; Ch. Srinivasa Rao; P. Mounika

doi:https://doi.org/10.56827/JRSMMS.2022.1001.9

G. V. R. Babu Department of Mathematics, Andhra University, Visakhapatnam - 530003, INDIA

Ch. Srinivasa Rao Department of Mathematics, Andhra University, Visakhapatnam - 530003, INDIA

P. Mounika Department of Mathematics, Andhra University, Visakhapatnam - 530003, INDIA

Volume 10, Issue 1 Pages 103-112 December 30, 2022 317 downloads

Article overview

Abstract

In this paper, we define enriched $(\psi,\varphi_\lambda)$-weakly contractive map in convex metric spaces where $\psi$ is continuous on $[0,+\infty)$ and $\varphi_\lambda$ is not continuous on $[0,+\infty)$ and prove the existence and uniqueness of fixed points of these maps in complete convex metric spaces. We provide an example in support of our result.

Keywords and Phrases

Contractionenriched contraction$(\lambdac)$-enriched contractionenriched $(\psi\varphi_\lambda)$-weakly contractive map.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

G. V. R. Babu, Ch. Srinivasa Rao, P. Mounika (2022). A FIXED POINT THEOREM ON ENRICHED $(\psi,\varphi_\lambda)$-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 103-112.

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