A study of common fixed point of enriched contractions

In this paper, we study convergence of Jungck-Schaefer iterative scheme to the common fixed point of generalized enriched contractions. Some novel general class of enriched contractive definitions called enriched-Jungck contractions are presented and we study the existence and uniqueness of common fixed points for these class of mappings in Banach spaces using Jungck-Schaefer iterative techniques. Our results unify, generalize and extend some recently announced related results in literature.

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Publication Details

Journal
Kathmandu University Journal of Science Engineering and Technology
Published
2024-12-27
DOI
https://doi.org/10.70530/kuset.v18i2.572
Primary Topic
Fixed Point Theorems Analysis
Type
article
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A study of common fixed point of enriched contractions

Kathmandu University Journal of Science Engineering and Technology
Fixed Point Theorems Analysis
article

A study of common fixed point of enriched contractions

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Abstract

In this paper, we study convergence of Jungck-Schaefer iterative scheme to the common fixed point of generalized enriched contractions. Some novel general class of enriched contractive definitions called enriched-Jungck contractions are presented and we study the existence and uniqueness of common fixed points for these class of mappings in Banach spaces using Jungck-Schaefer iterative techniques. Our results unify, generalize and extend some recently announced related results in literature.

Kathmandu University Journal of Science Engineering and TechnologyVol. 18(2)
Osun State University (NG), Obafemi Awolowo University (NG)
Openalex Percentile: Top 63%
Fixed Point Theorems Analysis
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