Best proximity points for generalized proximal weak contractions in partially ordered metric spaces

被引：9

作者：

Pragadeeswarar, V. ^{[1
]}

Marudai, M. ^{[1
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India

来源：

OPTIMIZATION LETTERS | 2015年 / 9卷 / 01期

关键词：

Partially ordered set; Optimal approximate solution; Proximally increasing mapping; Fixed point; Best proximity point; THEOREMS; EXISTENCE; CONVERGENCE; SETS;

D O I：

10.1007/s11590-013-0709-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we prove the existence and uniqueness of best proximity point for mappings satisfying generalized proximal weak contraction in a complete ordered metric spaces. Further, our result provides an extension of a result due to Stojan Radenovic and Zoran Kadelburg to the case of non-self-mappings.

引用

页码：105 / 118

页数：14