@article{Alamer2026, 
author = {Ahmed Alamer and Faizan Ahmad Khan},
title = {Nonlinear almost    F-contractions in relational metric space with an application to periodic boundary value problems},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {7593-7609},
keywords = {fixed points, F-contractions, Γ-continuity, locally transitive relations, boundary value problems},
url = {https://www.sciopen.com/article/10.3934/math.2026312},
doi = {10.3934/math.2026312},
abstract = {In this paper, we establish some fixed-point outcomes for a nonlinear almost    F-contraction map in a metric space combined with a locally        L  -transitive binary relation. Numerous previous insights are expanded, developed, improved, and consolidated in the outcomes reported herein. We propose a few instances in order to illustrate our findings. As an application of our findings, we explore the existence of a solution of a first-order periodic boundary value problem.}
}