@article{Algehyne2023, 
author = {Ebrahem A. Algehyne and Nifeen Hussain Altaweel and Mounirah Areshi and Faizan Ahmad Khan},
title = {Relation-theoretic almost    ϕ-contractions with an application to elastic beam equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {8},
pages = {18919-18929},
keywords = {fixed points, boundary value problems, binary relations, almost contractions},
url = {https://www.sciopen.com/article/10.3934/math.2023963},
doi = {10.3934/math.2023963},
abstract = {In this article, we prove some results on existence and uniqueness of fixed points for an almost    ϕ-contraction mapping defined on a metric space endowed with an amorphous relation. Our results generalize and improve several well known fixed point theorems of the existing literature. To substantiate the credibility of our results, we construct some examples. We also apply our results to determine a unique solution of a boundary value problem associated with nonlinear elastic beam equations.}
}