Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

被引:16
作者
Markin, Jack [1 ]
Shahzad, Naseer [1 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Best approximations; Invariant sets; Best proximity pairs; Nonexpansive mappings; Condensing mappings; FIXED-POINT THEOREMS; MULTIVALUED MAPPINGS;
D O I
10.1016/j.na.2008.03.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In hyperconvex metric spaces we consider best approximation, invariant approximation and best proximity pair problems for multivalued mappings that are condensing or nonexpansive. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2435 / 2441
页数:7
相关论文
共 27 条
[1]   A selection theorem in metric trees [J].
Aksoy, A. G. ;
Khamsi, M. A. .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (10) :2957-2966
[2]  
[Anonymous], 1997, FIXED POINT THEORY B
[3]  
Aronszajn N., 1956, Pacific J. Math., V6, P405
[4]  
Baillon J. B., 1988, FIXED POINT THEORY I, V72, P11, DOI DOI 10.1090/CONM/072/956475
[5]  
Basha SS, 2000, J APPROX THEORY, V103, P119
[6]  
Basha SS, 2001, INDIAN J PURE AP MAT, V32, P1237
[7]   Lim's theorems for multivalued mappings in CAT(0) spaces [J].
Dhompongsa, S ;
Kaewkhao, A ;
Panyanak, B .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (02) :478-487
[8]   Fixed point theorems in R-trees with applications to graph theory [J].
Espínola, R ;
Kirk, WA .
TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (07) :1046-1055
[9]  
Espinola R., 2005, Ann. Univ. Mariae Curie-Sklodowska Sect. A, V59, P9
[10]   EXTENSIONS OF 2 FIXED POINT THEOREMS OF BROWDER,FE [J].
FAN, K .
MATHEMATISCHE ZEITSCHRIFT, 1969, 112 (03) :234-&