Locally nonexpansive mappings in geodesic and length spaces

被引:8
作者
Alghamdi, Maryam A. [1 ]
Kirk, W. A. [2 ]
Shahzad, Naseer [3 ]
机构
[1] King Abdulaziz Univ, Fac Sci Girls, Jeddah 21491, Saudi Arabia
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Locally nonexpansive mappings; Fixed points; CAT(0) spaces; FIXED-POINT THEOREM; INVARIANT APPROXIMATIONS; CAT(0); CONTRACTIONS;
D O I
10.1016/j.topol.2014.04.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main focus of this paper is on fixed point theory for mapping satisfying local contractive conditions in Banach spaces and in various geodesic spaces. The emphasis is on locally nonexpansive mappings and local contractions. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:59 / 73
页数:15
相关论文
共 30 条
[1]  
Alghamdi MA, 2014, J NONLINEAR CONVEX A, V15, P49
[2]  
[Anonymous], 1970, Theory and applications of distance geometry
[3]  
[Anonymous], 1984, Monogr. Textbooks Pure Appl. Math.
[4]  
[Anonymous], 1999, METRIC SPACES NONPOS
[5]  
Burago D., 2001, GRAD STUD MATH, V33
[6]  
Buyalo SV., 1998, Algebra i Analiz, V10, P93
[7]   ZEROS OF ACCRETIVE OPERATORS [J].
DEIMLING, K .
MANUSCRIPTA MATHEMATICA, 1974, 13 (04) :365-374
[8]  
FREUDENTHAL H., 1936, Fundam. Math., V26, P120
[9]  
Goebel K., 1983, CONTEMP MATH-SINGAP, V21, P115, DOI DOI 10.1090/CONM/021/729507
[10]  
Holmes R. D., 1976, FIXED POINT THEORY I, P79