Best proximity point theorems for cyclic generalized proximal contractions

Fixexd point theory and applications

Narges Moezzifar¹  Ali Abkar¹  Azizollah Azizi¹  Naseer Shahzad² 

[1] Department of Mathematics, Imam Khomeini International University, Qazvin, Iran;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: best proximity point;    approximatively compact set;    cyclic generalized proximal contraction;    cyclically complete pair;    proximally complete pair;    semi-sharp proximinal pair;    41A65;    46B20;    47H10;   

DOI  :  10.1186/s13663-016-0557-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we introduce the notion of a cyclic generalized proximal contraction, and then prove some best proximity point theorems in metric spaces. We will provide examples to illustrate our results.

【 授权许可】

CC BY