Some topological properties and fixed point results in cone metric spaces over Banach algebras

被引：27

作者：

Huang, Huaping ^{[1
]}

Deng, Guantie ^{[1
]}

Radenovic, Stojan ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

POSITIVITY | 2019年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

c-Sequence; -Sequence; T-stability; P property; Well-posedness; GENERALIZED LIPSCHITZ MAPPINGS; THEOREMS; EQUIVALENCE;

D O I：

10.1007/s11117-018-0590-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note is intended as an attempt at presenting some topological properties in cone metric spaces over Banach algebras. Moreover, the corresponding fixed point results are given. In addition, the P property, T-stability of Picard's iteration, well-posedness of fixed point problems are also displayed. Our results complement and generalize some previous results in the existing literature.

引用

页码：21 / 34

页数：14

共 27 条

[1] Periodic points of T-Ciric generalized contraction mappings in ordered metric spaces [J].