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

页码：145 / 156

页数：12

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