Further generalized contraction mapping principle and best proximity theorem in metric spaces

被引：7
|
作者：
Su, Yongfu [1 ]
Yao, Jen-Chih [2 ,3 ]
机构：
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
[2] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
contraction mapping principle; complete metric spaces; fixed point; best proximity theorem; FIXED-POINT THEOREMS; PARTIALLY ORDERED SETS; ALTERING DISTANCES;
D O I：
10.1186/s13663-015-0373-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to prove a more generalized contraction mapping principle. By using this more generalized contraction mapping principle, a further generalized best proximity theorem was established. Some concrete results have been derived by using the above two theorems. The results of this paper improve many important results published recently in the literature.
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页数：13
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