Ciric-Rhoades-Type Contractive Mappings

Authors

  • Shehu Shagari Mohammed Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
  • Rhoda Chiroma Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
  • Sirajo Yahaya Department of Mathematics and Statistics, School of Arts and Sciences, American University of Nigeria, Yola, Nigrri

DOI:

https://doi.org/10.58715/ncao.2024.3.5

Keywords:

fixed point, Metric-like spaces, Weakly contractive

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.

Downloads

Published

2024-12-20

How to Cite

Mohammed, S. S., Chiroma, R., & Yahaya, S. (2024). Ciric-Rhoades-Type Contractive Mappings. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 3(2), 91–103. https://doi.org/10.58715/ncao.2024.3.5