On the fixed points of nonexpansive mappings in modular metric spaces

被引：19
|
作者：
Abdou, Afrah A. N. [1 ]
Khamsi, Mohamed A. [2 ,3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
nonexpansive mapping; Delta(2)-condition; fixed point; modular function space; modular metric spaces; Orlicz spaces; THEOREM;
D O I：
10.1186/1687-1812-2013-229
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property.
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页数：13
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