Common fixed points of non-self mappings satisfying implicit relations in partial metric spaces

被引:1
|
作者
Kumar, Santosh [1 ]
Rugumisa, Terentius [2 ]
机构
[1] Univ Dar Es Salaam, Dept Math, POB 35062, Dar Es Salaam, Tanzania
[2] Open Univ Tanzania, Fac Sci Technol & Environm Studies, Dar Es Salaam, Tanzania
来源
JOURNAL OF ANALYSIS | 2020年 / 28卷 / 02期
关键词
Implicit relations; Non-self mappings; Common fixed points; Partial metric space; Convex structure; 47H10; 54H25; PAIR;
D O I
10.1007/s41478-019-00173-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Fixed points theorems involving implicit relations were introduced by Berinde and Vetro for metric spaces and ordered metric spaces. Researchers have extended similar theorems into partial metric spaces. Vetro and Vetro studied coincidence point and common fixed point theorems for two self-mappings satisfying conditions defined by implicit relations in the settings of partial metric space. We extend this theorem into non-self mappings in complete partial metric spaces having a convex structure.
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页码:363 / 375
页数:13
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