FIXED-POINT ITERATIONS FOR REAL FUNCTIONS

被引:48
作者
BORWEIN, D [1 ]
BORWEIN, J [1 ]
机构
[1] DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 3J5,NS,CANADA
关键词
D O I
10.1016/0022-247X(91)90139-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give proofs of general results on the computation of fixed points of a continuous function or a Lipschitz function on the real line. We also show how completely these results can fail to hold in spaces of more than one dimension. © 1970.
引用
收藏
页码:112 / 126
页数:15
相关论文
共 16 条
[2]   ON MANN ITERATIVE PROCESS [J].
DOTSON, WG .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 149 (01) :65-&
[3]  
EDELSTEIN M, 1978, J LOND MATH SOC, V17, P547, DOI 10.1112/jlms/s2-17.3.547
[4]   THEOREM ON MEAN-VALUE ITERATIONS [J].
FRANKS, RL ;
MARZEC, RP .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 30 (02) :324-&
[5]   NOTE ON SEGMENTING MANN ITERATES [J].
GROETSCH, CW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (02) :369-&
[6]   MANN ITERATION PROCESS IN HILBERT-SPACE [J].
HICKS, TL ;
KUBICEK, JD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 59 (03) :498-504
[7]  
Hillam B.P., 1975, MATH MAG, V48, P167
[9]   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
[10]  
Kirk W. A., 1981, LECT NOTES MATH, V886, P484