REMARKS ON MULTIVALUED QUASI-NONEXPANSIVE MAPPINGS IN R-TREES

被引:0
作者
Samanmit, K. [1 ]
Panyanak, B. [1 ]
机构
[1] Chaing Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
关键词
Fixed point; multivalued mapping; strong convergence; Ishikawa iteration; R-tree; FIXED-POINTS; ISHIKAWA ITERATION; CONVERGENCE; THEOREMS; MANN;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that, in an R-tree, the notion of proximally quasi-nonexpansive mappings introduced by Song and Cho [25] is weaker than the notion of multivalued quasi-nonexpansive mappings. We also obtain the strong convergence of an Ishikawa iteration for proximally quasi-nonexpansive mappings without assuming the endpoint condition.
引用
收藏
页码:1181 / 1191
页数:11
相关论文
共 29 条
[1]  
[Anonymous], 1999, METRIC SPACES NONPOS
[2]  
Chidume CE, 1985, J NIGERIAN MATH SOC, V4, P1
[3]  
Cho YJ, 2008, TAIWAN J MATH, V12, P51
[4]   Approximation of common fixed points of two quasi-nonexpansive multi-valued maps in Banach spaces [J].
Cholamjiak, Watcharaporn ;
Suantai, Suthep .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :941-949
[5]   On Δ-convergence theorems in CAT(0) spaces [J].
Dhompongsa, S. ;
Panyanak, B. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) :2572-2579
[6]   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
[7]   Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J].
Ghosh, MK ;
Debnath, L .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 207 (01) :96-103
[8]   FIXED-POINTS AND ITERATION OF A NONEXPANSIVE MAPPING IN A BANACH-SPACE [J].
ISHIKAWA, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) :65-71
[9]   FIXED-POINTS BY A NEW ITERATION METHOD [J].
ISHIKAWA, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) :147-150
[10]   FIXED-POINT ISHIKAWA ITERATIONS [J].
KALINDE, AK ;
RHOADES, BE .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 170 (02) :600-606