Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space
The aim of this study is to introduce a new [Formula: see text] contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.
Authors
- Arul Joseph Gnanaprakasam (ORCID: https://orcid.org/0000-0001-6346-605X)
- M. S. Khan (ORCID: https://orcid.org/0000-0002-6045-9599)
- Y. Mahendra Singh (ORCID: https://orcid.org/0000-0002-8339-0731)
- M. Gunaseelan
- Kenan Taş (ORCID: https://orcid.org/0000-0001-8173-453X)
Institutions
- Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (IN)
- SRM Institute of Science and Technology (IN)
- Manipur University (IN)
- Usak University (TR)
- National Institute of Technology Manipur (IN)
- Sefako Makgatho Health Sciences University (ZA)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2025-10-10
- DOI
- https://doi.org/10.1142/s1793557125501207
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00