Fixed Results on Generalized Weakly Quasi-Type Contractive Operators

This study introduces and investigates generalized weakly quasi-type contractive operators within the context of b-metric-like spaces, aiming to establish rigorous conditions for the existence and uniqueness of fixed points. While weakly contractive mappings have been widely examined in standard metric spaces, their behavior in b-metric-like spaces remains underexplored. Addressing this gap, the paper extends existing theoretical frameworks and contributes novel results relevant to this generalized setting. The proposed assertions are substantiated through non-trivial comparative examples, and several corollaries are presented to illustrate how the main findings generalize and unify various established results in fixed point theory. These contributions enhance the understanding of contractive mappings in non-standard metric-like structures and open pathways for further applications.

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Publication Details

Journal
Mikailalsys Journal of Mathematics and Statistics
Published
2025-06-08
DOI
https://doi.org/10.58578/mjms.v3i3.6046
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Fixed Results on Generalized Weakly Quasi-Type Contractive Operators

Rhoda Chiroma, Mohammed Shehu Shagari, Ezra Emmanuel Tanto
Mikailalsys Journal of Mathematics and Statistics
Differential Equations and Boundary Problems
article

Fixed Results on Generalized Weakly Quasi-Type Contractive Operators

Rhoda Chiroma, Mohammed Shehu Shagari, Ezra Emmanuel Tanto
article en

Abstract

This study introduces and investigates generalized weakly quasi-type contractive operators within the context of b-metric-like spaces, aiming to establish rigorous conditions for the existence and uniqueness of fixed points. While weakly contractive mappings have been widely examined in standard metric spaces, their behavior in b-metric-like spaces remains underexplored. Addressing this gap, the paper extends existing theoretical frameworks and contributes novel results relevant to this generalized setting. The proposed assertions are substantiated through non-trivial comparative examples, and several corollaries are presented to illustrate how the main findings generalize and unify various established results in fixed point theory. These contributions enhance the understanding of contractive mappings in non-standard metric-like structures and open pathways for further applications.

Mikailalsys Journal of Mathematics and StatisticsVol. 3(3)
Ahmadu Bello University (NG), Kwararafa University (NG), Federal University Wukari
Openalex Percentile: Top 81%
Differential Equations and Boundary Problems
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