Ciric-Rhoades-Type Contractive Mappings

The available literature shows that weakly contractive operators have been thoroughly researched in relation to metric spaces and associated fixed point theorems. These efforts, which broaden the concept of symmetric and asymmetric spaces, however, have not yet fully grasped the context of metric-like spaces.Considering this gap, this manuscripts introduces the notion of generalized weakly quasi contractive operators in metric-like space and investigates the existence and uniqueness of these operators' fixed points. Non-trivial comparative examples are constructed to support the assertions forming the main ideas herein. Some corollaries indicating that the idea of this paper encompasses a few related ones in the literature are highlighted and addressed.

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Publication Details

Journal
Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications
Published
2024-12-31
DOI
https://doi.org/10.58715/ncao.2024.3.5
Citations
1
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
1.27
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article

Ciric-Rhoades-Type Contractive Mappings

Mohammed Shehu Shagari, Sirajo Yahaya, Rhoda Chiroma
1 citations
Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications
Advanced Topics in Algebra
1.27
article

Ciric-Rhoades-Type Contractive Mappings

Mohammed Shehu Shagari, Sirajo Yahaya, Rhoda Chiroma
article en
1 citations

Abstract

The available literature shows that weakly contractive operators have been thoroughly researched in relation to metric spaces and associated fixed point theorems. These efforts, which broaden the concept of symmetric and asymmetric spaces, however, have not yet fully grasped the context of metric-like spaces.Considering this gap, this manuscripts introduces the notion of generalized weakly quasi contractive operators in metric-like space and investigates the existence and uniqueness of these operators' fixed points. Non-trivial comparative examples are constructed to support the assertions forming the main ideas herein. Some corollaries indicating that the idea of this paper encompasses a few related ones in the literature are highlighted and addressed.

Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and ApplicationsVol. 3(2)
Ahmadu Bello University (NG), American University of Nigeria (NG)
Openalex Percentile: Top 17%
Advanced Topics in Algebra
1.27
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