Some results on best proximity point on star-shaped sets in probabilistic Banach (Menger) spaces

Fixexd point theory and applications

Maryam Shams¹  Asiyeh Nematizadeh¹  Hamid Shayanpour¹ 

[1] Department of Pure Mathematics, University of Shahrekord, Shahrekord, Iran

关键词: proximal contraction;    proximal nonexpansive mappings;    best proximity point;    P-property;    star-shaped;    41A65;    47H10;    47H09;    46S50;   

DOI  :  10.1186/s13663-015-0487-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We first present the concepts of proximal contraction and proximal nonexpansive mappings on star-shaped sets in probabilistic Banach (Menger) spaces. We derive some results about the best proximity points for these mappings in probabilistic Banach (Menger) spaces. Next, we bring some examples that defend our main results.

【 授权许可】

CC BY