Some properties of generalized fundamentally nonexpansive mappings in Banach spaces

被引：0
|
作者：
Moosaei, Mohammad [1 ]
机构：
[1] Bu Ali Sina Univ, Dept Math, Hamadan, Hamadan, Iran
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 02期
关键词：
fixed point; fundamentally nonexpansive mappings; normal structure; Opial's condition; quasi-nonexpansive mappings; uniformly convex in every direction Banach spaces; weakly compact;
D O I：
10.22075/ijnaa.2020.19290.2070
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.
引用
收藏
页码：1343 / 1352
页数：10
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