Best proximity point theorems with Suzuki distances

Journal of inequalities and applications

Mehdi Omidvari¹ 

关键词: weak P-property;    best proximity point;    τ-distance;    α-ψ-proximal contraction;    ordered p-proximal contraction;    90C26;    90C30;    47H09;    47H10;   

DOI  :  10.1186/s13660-014-0538-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we define the weak P-property and the α-ψ-proximal contraction by p in which p is a τ-distance on a metric space. Then, we prove some best proximity point theorems in a complete metric space X with generalized distance. Also we define two kinds of α-p-proximal contractions and prove some best proximity point theorems.

【 授权许可】

CC BY