Existence of Common Fixed Point for b-Metric Rational Type Contraction

被引：10

作者：

Abbas, Mujahid ^{[1
,2
]}

Chema, Imran Zulfiqar ^{[3
]}

Razani, Abdolrahman ^{[4
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, Lymwood Rd, ZA-0002 Pretoria, South Africa

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

[3] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan

[4] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin 3414916818, Iran

来源：

FILOMAT | 2016年 / 30卷 / 06期

关键词：

common fixed point; compatible maps; b-metric space; partially ordered set; PARTIALLY ORDERED SETS; MAPPINGS; THEOREMS; MAPS;

D O I：

10.2298/FIL1606413A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.

引用

页码：1413 / 1429

页数：17

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