Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces

被引:3
作者
Lopez-Acedo, Genaro [1 ]
Suzuki, Tomonari [2 ]
机构
[1] Univ Seville, Dept Anal Matemat, Fac Math, E-41080 Seville, Spain
[2] Kyushu Inst Technol, Dept Math, Kitakyushu, Fukuoka 8048550, Japan
关键词
COMMON FIXED-POINTS; WEAK-CONVERGENCE; MAPPINGS; THEOREMS; APPROXIMATIONS;
D O I
10.1155/2010/418030
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a sufficient and necessary condition concerning a Browder's convergence type theorem for uniformly asymptotically regular one-parameter nonexpansive semigroups in Hilbert spaces.
引用
收藏
页数:8
相关论文
共 21 条
[1]  
AKIYAMA S, CANADIAN MA IN PRESS
[2]  
Aleyner A, 2005, J NONLINEAR CONVEX A, V6, P137
[3]   NONEXPANSIVE MAPPINGS AND FIXED-POINTS IN BANACH SPACES [J].
BELLUCE, LP ;
KIRK, WA .
ILLINOIS JOURNAL OF MATHEMATICS, 1967, 11 (03) :474-&
[4]   Construction of sunny nonexpansive retractions in Banach spaces [J].
Benavides, TD ;
López-Acedo, G ;
Xu, HK .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (01) :9-16
[5]  
BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82
[8]   COMMON FIXED-POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS [J].
BRUCK, RE .
PACIFIC JOURNAL OF MATHEMATICS, 1974, 53 (01) :59-71
[9]   COMMON FIXED POINTS FOR COMMUTING CONTRACTION MAPPINGS [J].
DEMARR, R .
PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (04) :1139-&
[10]   A FIXED POINT THEOREM FOR MAPPINGS WHICH DO NOT INCREASE DISTANCES [J].
KIRK, WA .
AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (09) :1004-&