Fixed Points for Multivalued Suzuki Type (,R)-Contraction Mapping with Applications

被引：22

作者：

Abbas, Mujahid ^{[1
,2
]}

Iqbal, Hira ^{[3
]}

Petrusel, Adrian ^{[4
,5
]}

机构：

[1] Govt Coll Univ, Dept Math, Katchery Rd, Lahore 54000, Pakistan

[2] Univ Pretoria, Dept Math & Appl Math, ZA-002 Pretoria, South Africa

[3] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Lahore Campus, Lahore, Pakistan

[4] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania

[5] Acad Romanian Scientists, Bucharest, Romania

来源：

JOURNAL OF FUNCTION SPACES | 2019年 / 2019卷

关键词：

PARTIALLY ORDERED SETS; THEOREMS;

D O I：

10.1155/2019/9565804

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will introduce the concept of Suzuki type multivalued (,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. Examples are provided to support the results proved here. As an application of our results, we obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional differential equation.

引用

页数：13

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