ASYMPTOTIC BEHAVIOR OF NONEXPANSIVE MAPPINGS IN FINITE DIMENSIONAL NORMED SPACES

被引：0

作者：

Lins, Brian ^{[1
]}

机构：

[1] Hampden Sydney Coll, Dept Math & Comp Sci, Hampden Sydney, VA 23943 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 07期

关键词：

NON-EXPANSIVE MAPPINGS; BANACH-SPACES; ITERATIONS; MAPS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If X is a finite dimensional real normed space, C is a closed convex subset of X and f : C -> C is nonexpansive with respect to the norm on X, then we show that either f has a fixed point in C or there is a linear functional phi is an element of X* such that lim(k ->infinity) phi(f(k)(x)) = infinity for all x is an element of C.

引用

页码：2387 / 2392

页数：6

共 50 条

[21] FIRMLY NONEXPANSIVE MAPPINGS IN CLASSES OF GEODESIC SPACES
Ariza-Ruiz, David
Leustean, Laurentiu
Lopez-Acedo, Genaro
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (08) : 4299 - 4322
[22] ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES
Yao, Yonghong
Liou, Yeong-Cheng
Shahzad, Naseer
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (05) : 583 - 592
[23] On asymptotically nonexpansive mappings in hyperconvex metric spaces
Khamsi, MA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (02) : 365 - 373
[24] On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings
Bauschke, Heinz H.
Douglas, Graeme R.
Moursi, Walaa M.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (02) : 297 - 307
[25] Convergence theorems for two finite families of asymptotically nonexpansive mappings
Chen, Weixu
Guo, Weiping
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) : 1311 - 1319
[26] CONVERGENCE THEOREMS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT (0) SPACES
Thakur, Balwant Singh
Thakur, Dipti
Agarwal, Ravi P.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (11) : 2059 - 2074
[27] On fixed points of fundamentally nonexpansive mappings in Banach spaces
Moosaei, Mohammad
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 219 - 224
[28] Asymptotic properties of nonexpansive iterations in reflexive spaces
Rouhani, BD
Kirk, WA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 236 (02) : 281 - 289
[29] NONEXPANSIVE MAPPINGS AND CONTINUOUS s-POINT SPACES
Ghasemzadehdibagi, Shahrokh
Asadi, Mehdi
Haghayeghi, Somayeh
FIXED POINT THEORY, 2020, 21 (02): : 481 - 494
[30] Two porosity theorems for nonexpansive mappings in hyperbolic spaces
Reich, Simeon
Zaslavski, Alexander J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (02) : 1220 - 1229

← 1 2 3 4 5 →