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

Fixexd point theory and applications

Jen-Chih Yao¹  Yongfu Su² 

[1] Center for General Education, China Medical University, Taichung, Taiwan;Department of Mathematics, Tianjin Polytechnic University, Tianjin, China

关键词: contraction mapping principle;    complete metric spaces;    fixed point;    best proximity theorem;   

DOI  :  10.1186/s13663-015-0373-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY