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Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application

Authors :
Bhumika Rani
Jatinderdeep Kaur
Satvinder Singh Bhatia
Source :
Axioms, Vol 13, Iss 12, p 815 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

In the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclusions of this study are shown to be corollaries or implications of multiple important fixed point theory findings. Some examples have also been provided to show the validity of our results. Towards the end of this paper, we study the solution of the nonlinear equations as an application of our main results.

Details

Language :
English
ISSN :
20751680
Volume :
13
Issue :
12
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.8ba7e9d6c8ff47fab96415d9f827a227
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms13120815