Best proximity point for the proximal nonexpansive mapping on the starshaped sets

Fixexd point theory and applications

Hui Wang¹  Song Xiao¹  Jianren Chen¹  Shiwen Deng¹ 

[1] School of Mathematics Science, Harbin Normal University, Harbin, China

关键词: best proximity point;    proximal nonexpansive mapping;    starshaped set;    nonexpansive map;   

DOI  :  10.1186/s13663-015-0268-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The existence of the best proximity point for the proximal nonexpansive mapping on starshaped sets is studied. Our results are established without the assumptions of continuity, affinity or the P-property. Finally, as applications of the theorems, analogs for the nonexpansive mappings are also given.

【 授权许可】

CC BY