Sequential Kannan Type Contractions in Partial b-Metric Spaces

Authors

Yaé U. Gaba African Institute for Mathematical Sciences, Research & Innovation Centre, Kigali, Rwanda https://orcid.org/0000-0001-8128-9704
Collins A. Agyingi Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa https://orcid.org/0000-0001-7463-1399

DOI:

https://doi.org/10.37256/cm.5420242875

Keywords:

sequential Kannan type, fixed point, partial b-metrics

Abstract

This paper presents the concept of the "sequential condition" in the context of fixed point results for self-maps in partial b-metric spaces. We demonstrate the existence of a unique fixed point when this condition is satisfied. Additionally, we provide illustrative examples to showcase the application and effectiveness of our findings.

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Published

2024-10-18

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

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