@article{c63d3a8165f84b10a4be39a0e3e0c186,
title = "Fixed Point of (α, β)-Admissible Generalized Geraghty F-Contraction with Application",
abstract = "In this paper, we introduce some new types of extended Geraghty contractions, called (α, β)-admissible generalized Geraghty F-contractions, and prove some fixed point results for such contractions in the setting of partial b-metric spaces. Moreover, based on the obtained fixed point results and the property of symmetry, we inaugurate a fixed point result for graphic generalized Geraghty F-contractions defined on partial metric spaces endowed with a directed graph. As an application, we examine the existence of a unique solution to the first-order periodic boundary value by the obtained fixed point result. Moreover, some examples are presented to illustrate the validity of the new results.",
keywords = "(α, β)-admissible, F-contraction, b-metric spaces, fixed point, partial metric spaces",
author = "Min Wang and Naeem Saleem and Xiaolan Liu and Ansari, {Arslan Hojat} and Mi Zhou",
note = "Funding Information: Funding: Min Wang is partially supported by the scientific research start-up project of Mianyang Teachers{\textquoteright} College (QD2019A08). Xiao-lan Liu is partially supported by the National Natural Science Foundation of China (Grant No. 11872043), Central Government Funds of Guiding Local Scientific and Technological Development for Sichuan Province (Grant No. 2021ZYD0017), Zigong Science and Technology Program (Grant No. 2020YGJC03), the Opening Project of Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things (Grant No. 2020WYJ01), 2020 Graduate Innovation Project of Sichuan University of Science and Engineering (Grant No. y2020078), 2021 Innovation and Entrepreneurship Training Program for College Students of Sichuan University of Science and Engineering (Grant No. cx2021150). Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",
year = "2022",
month = may,
doi = "10.3390/sym14051016",
language = "English",
volume = "14",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute",
number = "5",
}