Existence fixed-point theorems in the partial b-metric spaces and an application to the boundary value problem

被引：3

作者：

Anwar, Saeed ^{[1
]}

Nazam, Muhammad ^{[2
]}

Al Sulami, Hamed H. ^{[3
]}

Hussain, Aftab ^{[3
]}

Javed, Khalil ^{[1
]}

Arshad, Muhammad ^{[1
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan

[2] Allama Iqbal Open Univ, Dept Math, Islamabad, Pakistan

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

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

fixed point; multivalued almost contractions; partial b-metric space; application; CONTRACTIVE MAPPINGS;

D O I：

10.3934/math.2022456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some results on the Hausdorff partial b-metrics. We prove some new Lemmas regarding convergence of the sequences in the Hausdorff partial b-metric spaces. The obtained results generalize and improve many existing fixed-point results. The examples are given for the explanation of theory. The existence of the solution to the boundary value problem is proved via fixed-point approach.

引用

页码：8188 / 8205

页数：18

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