Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces

被引：0
|
作者：
Mamghaderi, Hamid [1 ]
Masiha, Seyed Hashem Parvaneh [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Math, POB 16315-1618, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期
关键词：
Fixed point; partially ordered set; non-Archimedean normed space; ultrametric space; nonexpansive mapping; GENERALIZED CONTRACTIONS; SETS;
D O I：
10.22075/ijnaa.2021.645.1104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.
引用
收藏
页码：735 / 740
页数：6
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