Some New Fixed Point Theorems in b-Metric Spaces with Application

被引：5

作者：

Alamri, Badriah A. S. ^{[1
]}

P. Agarwal, Ravi ^{[2
,3
]}

Ahmad, Jamshaid ^{[4
]}

机构：

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

[2] Texas A&M Univ, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA

[3] Florida Inst Technol, Melbourne, FL 32901 USA

[4] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

关键词：

Fredholm integral inclusions; (Theta; delta(b))-contractions; b-metric space; fixed point; multivalued mappings;

D O I：

10.3390/math8050725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to introduce a new class of contraction-like mappings, called the almost multivalued (Theta, delta(b))-contraction mappings in the setting of b-metric spaces to obtain some generalized fixed point theorems. As an application of our main result, we present the sufficient conditions for the existence of solutions of Fredholm integral inclusions. An example is also provided to verify the effectiveness and applicability of our main results.

引用

页数：11

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