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All Journal Mikailalsys Journal of Mathematics and Statistics
Tanto, Ezra Emmanuel
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Engineering Mathematics Mechanical Engineering

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Fixed Point Theorems of Ćirić-Type Contraction Chiroma, Rhonda; Tanto, Ezra Emmanuel
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5756

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.
Fixed Point Results on Generalized Weakly Quasi-Type Contractive Operators Chiroma, Rhoda; Shagari, Mohammed Shehu; Tanto, Ezra Emmanuel
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 3 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i3.6046

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.
Co-Authors Chiroma, Rhoda Chiroma, Rhonda Shagari, Mohammed Shehu