Best Proximity Points: Optimal Solutions

被引：90

作者：

Basha, S. Sadiq ^{[1
]}

机构：

[1] Anna Univ, Dept Math, Chennai 600025, Tamil Nadu, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2011年 / 151卷 / 01期

关键词：

Optimal approximate solution; Fixed point; Best proximity point; Contraction; Proximal contraction; QUASI-ASYMPTOTIC CONTRACTIONS; EQUILIBRIUM PAIRS; THEOREMS; APPROXIMATION; CONVERGENCE; EXTENSIONS; EXISTENCE; MULTIFUNCTIONS;

D O I：

10.1007/s10957-011-9869-4

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：

This article elicits a best proximity point theorem for non-self-proximal contractions. As a consequence, it ascertains the existence of an optimal approximate solution to some equations for which it is plausible that there is no solution. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designated as a best proximity point. It is interesting to observe that the preceding best proximity point theorem includes the famous Banach contraction principle.

引用

页码：210 / 216

页数：7

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