Fixed points of asymptotic pointwise contractions in modular spaces

被引：26
|
作者：
Kuaket, Kitima [1 ]
Kumam, Poom [1 ,2 ]
机构：
[1] KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 11期
关键词：
Asymptotic pointwise contractions; Asymptotic pointwise nonexpansive; Modular spaces; Fixed points; Convex modular;
D O I：
10.1016/j.aml.2011.04.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Kirk and Xu introduced the concept of asymptotic pointwise contractions. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, the fixed point theorem for asymptotic pointwise nonexpansive mappings in modular spaces is also studied. The results of this paper improve and extend the results of Razani et al. [A. Razani, E. Nabizadeh, M. Beyg Mohamadi, S. Homaei Pour, Fixed points of nonlinear and asymptotic contractions in the modular spaces, Abstract and Applied Analysis, 2007 (2007)], and Kirk and Xu [W. A. Kirk, Hong-Kun Xu, Asymptotic pointwise contractions, Nonlinear Analysis 69 (2008) 4706-4712] to modular spaces. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1795 / 1798
页数：4
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