Fixed Point Theorems of Ćirić-Type Contraction

This paper introduces a novel class of Ćiríc-type contraction operators within the framework of complete metric-like spaces. The study establishes sufficient conditions under which fixed points exist for such mappings, expanding the theoretical foundation of fixed point theory. A carefully constructed, non-trivial comparative example is provided to illustrate the broader applicability and generality of the main result. Furthermore, several corollaries are derived, demonstrating that the proposed theorem not only encompasses but also unifies numerous existing fixed point theorems associated with Ćiríc-type contractions. The findings contribute to a deeper understanding of generalized contractive mappings and offer potential applications in related mathematical and applied contexts.

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Publication Details

Journal
Mikailalsys Journal of Mathematics and Statistics
Published
2025-05-19
DOI
https://doi.org/10.58578/mjms.v3i2.5756
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Fixed Point Theorems of Ćirić-Type Contraction

Rhonda Chiroma, Ezra Emmanuel Tanto
Mikailalsys Journal of Mathematics and Statistics
Fixed Point Theorems Analysis
article

Fixed Point Theorems of Ćirić-Type Contraction

Rhonda Chiroma, Ezra Emmanuel Tanto
article en

Abstract

This paper introduces a novel class of Ćiríc-type contraction operators within the framework of complete metric-like spaces. The study establishes sufficient conditions under which fixed points exist for such mappings, expanding the theoretical foundation of fixed point theory. A carefully constructed, non-trivial comparative example is provided to illustrate the broader applicability and generality of the main result. Furthermore, several corollaries are derived, demonstrating that the proposed theorem not only encompasses but also unifies numerous existing fixed point theorems associated with Ćiríc-type contractions. The findings contribute to a deeper understanding of generalized contractive mappings and offer potential applications in related mathematical and applied contexts.

Mikailalsys Journal of Mathematics and StatisticsVol. 3(2)
Kwararafa University (NG), Federal University Wukari
Openalex Percentile: Top 84%
Fixed Point Theorems Analysis
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