Generic convergence of iterates for a class of nonlinear mappings in hyperbolic spaces

被引：0

作者：

Reich, S ^{[1
]}

Zaslavski, AJ ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS II | 2005年 / 382卷

关键词：

complete metric space; generic property; hyperbolic metric space; iteration; porous set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a bounded, closed and rho-convex subset of a hyperbolic complete metric space (X, rho). We show that the iterates of a typical (in the sense of Baire category) element of a class of continuous self-mappings of K converge uniformly on K to the unique fixed point of this typical element.

引用

页码：349 / 355

页数：7

共 15 条

[1] [Anonymous], 1993, DYNAM SYSTEMS APPL
[2] On a generalized best approximation problem
De Blasi, FS
Myjak, J
[J]. JOURNAL OF APPROXIMATION THEORY, 1998, 94 (01) : 54 - 72
[3] DEBLASI FS, 1991, J LOND MATH SOC, V44, P135
[4] DEBLASI FS, 1989, CR ACAD SCI I-MATH, V308, P51
[5] Goebel K., 1984, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings
[6] KIRK W.A., 2003, Seminar of Mathematical Analysis (Malaga/Seville, 2002/2003),, V64, P195
[7] KIRK WA, 1981, NUMER FUNC ANAL OPT, V4, P371
[8] Kuczumow T, 2001, HANDBOOK OF METRIC FIXED POINT THEORY, P437
[9] NONEXPANSIVE ITERATIONS IN HYPERBOLIC SPACES
REICH, S
SHAFRIR, I
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 15 (06) : 537 - 558
[10] Reich S, 2004, CONTEMP MATH, V364, P237

← 1 2 →