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
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
收藏
页码:1413 / 1429
页数:17
相关论文
共 39 条