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.

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Journal
Mathematics
Published
2025-10-09
DOI
https://doi.org/10.3390/math13193235
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations

Fahad Maqbul Alamrani, A. F. Aljohani, Faizan Ahmad Khan, Esmail Alshaban et al.
Mathematics
Nonlinear Differential Equations Analysis
article

Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations

Fahad Maqbul Alamrani, A. F. Aljohani, Faizan Ahmad Khan, Esmail Alshaban, Mohammed Zayed Alruwaytie, Adel Alatawi
article en

Abstract

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.

MathematicsVol. 13(19)
Saudi Electronic University (SA), University of Tabuk (SA)
Openalex Percentile: Top 60%
Nonlinear Differential Equations Analysis
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Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations — Fahad Maqbul Alamrani, A. F. Aljohani, et al. · Mathematics (2025) | TGRS Research Map | TGRS