Common new fixed point results on b-cone Banach spaces over Banach algebras

被引：2
|
作者：
Afshari, Hojjat [1 ]
Shojaat, Hadi [2 ]
Fulga, Andreea [3 ]
机构：
[1] Univ Bonab, Fac Sci, Dept Math, Bonab, Iran
[2] Farhangian Univ, Dept Math, Qazvin, Iran
[3] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania
来源：
APPLIED GENERAL TOPOLOGY | 2022年 / 23卷 / 01期
关键词：
common fixed point; cone b-norm; cone b-Banach space; null; -operator; THEOREMS; CONTRACTIONS;
D O I：
10.4995/agt.2022.15571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently Zhu and Zhai studied the concepts of cone b-norm and cone bBanach space as generalizations of cone b-metric spaces and they gave a definition of 0-operator and obtained some new fixed point theorems in cone b-Banach spaces over Banach algebras by using 0-operator. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions and following their work with introducing two mappings T and S we improve the fixed point theorems to the common fixed point theorems. An example is given to illustrate the usability of the obtained results.
引用
收藏
页码：145 / 156
页数：12
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