Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications

被引：5

作者：

Alolaiyan, Hanan Abdulaziz ^{[1
]}

Ali, Basit ^{[2
]}

Abbas, Mujahid ^{[3
,4
]}

机构：

[1] King Saud Univ, Math Dept, Riyadh, Saudi Arabia

[2] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa

[3] Univ Management & Technol, Dept Math, C-2, Lahore, Pakistan

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

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 03期

关键词：

Edelstein-Suzuki; metric space; multivalued mapping; best approximations; fixed point; THEOREMS;

D O I：

10.22436/jnsa.010.03.28

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain Edelstein-Suzuki type theorems for multivalued mappings in compact b-metric spaces. Moreover, we prove the existence of coincidence and common fixed points of a hybrid pair of mappings that satisfies Edelstein-Suzuki type contractive condition. We present some examples along with a comparison with results in existing literature. In the end, we present some corollaries in the metric spaces with applications in best approximation theory. (C) 2017 All rights reserved.

引用

页码：1201 / 1214

页数：14

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