Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type

被引：1
|
作者：
Okeke, Godwin Amechi [1 ]
Francis, Daniel [1 ]
Abbas, Mujahid [2 ,3 ]
机构：
[1] Fed Univ Technol Owerri, Sch Phys Sci, Dept Math, Funct Anal & Optimizat Res Grp Lab FANORG, PMB 1526, Owerri, Imo State, Nigeria
[2] Govt Coll Univ, Dept Math, Katchery Rd, Lahore 54000, Pakistan
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
来源：
JOURNAL OF ANALYSIS | 2022年 / 30卷 / 03期
关键词：
Common unique fixed point; Modular metric spaces; Contractive mappings; Delta(2)-type condition; Urysohn integral equation of second kind;
D O I：
10.1007/s41478-022-00393-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to prove some common fixed point theorems for certain nonlinear mappings satisfying rational contractive conditions in modular metric spaces. Our results extend, generalize and includes many known results as special cases in the framework of modular metric spaces. Furthermore, we apply our results in finding solutions of nonlinear integral equation of Urysohn type.
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页码：1069 / 1114
页数：46
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