FIXED AND PERIODIC POINT RESULTS IN CONE b-METRIC SPACES OVER BANACH ALGEBRAS; A SURVEY

被引：7

作者：

Firozjah, Ataollah Arabnia ^{[1
]}

Rahimi, Hamidreza ^{[1
]}

Rad, Ghasem Soleimani ^{[1
]}

机构：

[1] Islamic Azad Univ, Fac Sci, Dept Math, Cent Tehran Branch, POB 13185-768, Tehran, Iran

来源：

FIXED POINT THEORY | 2021年 / 22卷 / 01期

关键词：

Cone b-metric space; Banach algebra; spectral radius; solid cone; fixed point; GENERALIZED LIPSCHITZ MAPPINGS; THEOREMS;

D O I：

10.24193/fpt-ro.2021.1.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the concept of cone b-metric spaces over Banach algebras and obtain some fixed point results for various definitions of contractive mappings. Moreover, we discuss about the property P and the property Q of fixed point problems. Our results are significant, since we omit the assumptions of normality of cones under which can be generalized and unified a number of recently announced results in the existing literature. In particular, we refer to the results of Huang et al. [H. Huang, G. Deng, S. Radenovic, Some topological properties and fixed point results in cone metric spaces over Banach algebras, Positivity. (2018), in press].

引用

页码：157 / 168

页数：12

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