Some Fixed-Point Theorems in Proximity Spaces with Applications

被引：2

作者：

Qasim, Muhammad ^{[1
]}

Alamri, Hind ^{[2
]}

Altun, Ishak ^{[3
]}

Hussain, Nawab ^{[4
]}

机构：

[1] Natl Univ Sci & Technol NUST, Sch Nat Sci, Dept Math, H-12, Islamabad 44000, Pakistan

[2] Taif Univ, Dept Math, Collage Sci, POB 11099, At Taif 21944, Saudi Arabia

[3] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[4] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 10期

关键词：

fixed point; proximity spaces; phi-contraction; omega-distance;

D O I：

10.3390/math10101724

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering the omega-distance function defined by Kostic in proximity space, we prove the Matkowski and Boyd-Wong fixed-point theorems in proximity space using omega-distance, and provide some examples to explain the novelty of our work. Moreover, we characterize Edelstein-type fixed-point theorem in compact proximity space. Finally, we investigate an existence and uniqueness result for solution of a kind of second-order boundary value problem via obtained Matkowski-type fixed-point results under some suitable conditions.

引用

页数：12

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