A variational principle and best proximity points

被引：7

作者：

Ivanov, Milen ^{[1
]}

Zlatanov, Boyan ^{[2
]}

Zlateva, Nadia ^{[1
]}

机构：

[1] Univ Sofia, Fac Math & Informat, Sofia 1164, Bulgaria

[2] Plovdiv Univ Paisii Hilendarski, Fac Math & Informat, Plovdiv 4000, Bulgaria

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 08期

关键词：

Fixed point; cyclical operator; best proximity point; uniformly convex Banach space; variational principle; MAPPINGS; THEOREMS;

D O I：

10.1007/s10114-015-4538-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize Ekeland's Variational Principle for cyclic maps. We present applications of this version of the variational principle for proving of existence and uniqueness of best proximity points for different classes of cyclic maps.

引用

页码：1315 / 1326

页数：12

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