Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations
In this research, a few metrical fixed-point outcomes consisting of an almost nonlinear Pant-type contraction employing a locally finitely transitive relation have been established. The findings of our research extrapolate, unify, develop, and improve a number of previously mentioned results. In the present investigation, we formulate a fixed-point finding for almost nonlinear Pant-type contractions in abstract metric space. To assist our study, we formulate numerous examples to illustrate our outcomes. Using our findings, we describe the existence and uniqueness of solutions to a nonlinear Fredholm integral equation.
Authors
- Fahad Maqbul Alamrani (ORCID: https://orcid.org/0009-0006-9816-1719)
- A. F. Aljohani (ORCID: https://orcid.org/0000-0001-9758-5591)
- Faizan Ahmad Khan (ORCID: https://orcid.org/0000-0002-8734-5516)
- Esmail Alshaban (ORCID: https://orcid.org/0009-0000-0385-2557)
- Mohammed Zayed Alruwaytie (ORCID: https://orcid.org/0009-0001-9277-7444)
- Adel Alatawi (ORCID: https://orcid.org/0009-0000-8154-0858)
Institutions
- Saudi Electronic University (SA)
- University of Tabuk (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2025-10-09
- DOI
- https://doi.org/10.3390/math13193235
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00