A Variational Principle and Best Proximity Points

作     者：Milen IVANOV Boyan ZLATANOV Nadia ZLATEVA 

作者机构：Faculty of Mathematics and Informatics Sofia University "St.Kliment Ohridski" 5James Bourchier blvd.1164 Sofia Bulgaria Faculty of Mathematics and Informatics Plovdiv University "Paisii Hilendarski"24 "Tsar Assen"str.4000 Plovdiv Bulgaria Faculty of Mathematics and Informatics Sofia University "St.Kliment Ohridski"5James Bourchier blvd.1164 Sofia Bulgaria 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2015年第31卷第8期

页      面：1315-1326页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The first author is partially supported by Scientific Research Fund of Sofia University Contract 88/2014 

主　　题：Fixed point cyclical operator best proximity point uniformly convex Banach space variational principle 

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.