Fixed Point of (α, β)-Admissible Generalized Geraghty F-Contraction with Application

被引：3

作者：

Wang, Min ^{[1
]}

Saleem, Naeem ^{[2
]}

Liu, Xiaolan ^{[3
,4
,5
]}

Ansari, Arslan Hojat ^{[6
,7
]}

Zhou, Mi ^{[8
,9
,10
,11
]}

机构：

[1] Mianyang Teachers Coll, Sch Sci & Phys, Mianyang 621000, Sichuan, Peoples R China

[2] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan

[3] Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China

[4] Key Lab Higher Educ Sichuan Prov Enterprise Infor, Zigong 643000, Peoples R China

[5] South Sichuan Ctr Appl Math, Zigong 643000, Peoples R China

[6] Karaj Brancem Islamic Azad Univ, Dept Math, Karaj 6134937333, Iran

[7] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Pretoria, South Africa

[8] Sanya Univ, Sch Sci & Technol, Sanya 572000, Peoples R China

[9] Univ Sanya, Ctr Math Res, Sanya 572022, Peoples R China

[10] Univ Sanya, Academician Guoliang Chen Team Innovat Ctr, Sanya 572022, Peoples R China

[11] Univ Sanya, Academician Chunming Rong Workstn, Sanya 572022, Peoples R China

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

fixed point; partial metric spaces; b-metric spaces; F-contraction; (alpha; beta)-admissible; THEOREMS; MAPPINGS; SPACES;

D O I：

10.3390/sym14051016

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce some new types of extended Geraghty contractions, called (alpha, beta)-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.

引用

页数：22

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