A FIXED POINT THEOREM ON ENRICHED (ψ, φλ)-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES

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

doi:10.56827/JRSMMS.2022.1001.9

A FIXED POINT THEOREM ON ENRICHED (ψ, φλ)-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES

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

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

Keywords: Contraction, enriched contraction, (λ, c)-enriched contraction, enriched (ψ, φλ)-weakly contractive map

Abstract

In this paper, we define enriched (ψ, φλ)-weakly contractive map in convex metric spaces where ψ is continuous on [0,+∞) and φλ is not continuous on [0,+∞) 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.

Published

2022-12-30

Issue

Vol 10 No 01 (2022): J. of Ramanujan Society of Mathematics and Mathematical Sciences

Section

Research Article

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.