The concept of cone b-Banach space and fixed point theorems

被引:1
|
作者
Yang, Chen [1 ]
Zhu, Xiaolin [2 ]
机构
[1] Shanxi Vocat Univ Engn Sci & Technol, Taiyuan 030619, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源
OPEN MATHEMATICS | 2021年 / 19卷 / 01期
关键词
fixed point; uniqueness; cone b-norm; cone b-Banach space; METRIC-SPACES; CONTRACTIVE MAPPINGS; POSITIVE SOLUTIONS; COINCIDENCE POINT; EQUATIONS; SETS;
D O I
10.1515/math-2021-0068
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces. Furthermore, we also investigate the uniqueness of fixed points.
引用
收藏
页码:1187 / 1196
页数:10
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