Fixed point theorems and T-stability of Picard iteration for generalized Lipschitz mappings in cone metric spaces over Banach algebras

被引：0

作者：

Huang, Huaping ^{[1
]}

Xu, Shaoyuan ^{[2
]}

Liu, Hao ^{[1
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China

[2] Hanshan Normal Univ, Dept Math & Stat, Chaozhou 521041, Peoples R China

[3] Dong Thap Univ, Fac Math & Informat Technol, Dong Thap, Vietnam

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 05期

关键词：

Generalized Lipschitz constant; P property; T stability; Cone metric space over Banach algebra; Solid cone; EQUIVALENCE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we obtain the existence of non-normal solid cone and some fixed point theorems for generalized Lipschitz contractive mappings in cone metric spaces over Banach algebras. Our results greatly generalize the main work by Xu and Radenovie (Fixed Point Theory and Applications, 2014, 2014: 102). Moreover, we verify the P property and T-stability of Picard's iteration. Further, we give an example to illustrate that our works are never a copy of metric results in the literature.

引用

页码：869 / 888

页数：20

共 50 条

[1] Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
Liu, Hao
Xu, Shaoyuan
FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
Hao Liu
Shaoyuan Xu
Fixed Point Theory and Applications, 2013
[3] ORTHOGONAL CONE METRIC SPACES WITH BANACH ALGEBRAS AND FIXED POINT THEOREMS OF GENERALIZED LIPSCHITZ MAPPINGS
Rashid, M. H. M.
Noushida, P. P.
Kumar, V. Anil
Prasad, T.
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 16 (02): : 285 - 307
[4] Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
Shaoyuan Xu
Stojan Radenović
Fixed Point Theory and Applications, 2014
[5] Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
Xu, Shaoyuan
Radenovic, Stojan
FIXED POINT THEORY AND APPLICATIONS, 2014,
[6] FIXED POINT THEOREMS OF GENERALIZED CONTRACTION MAPPINGS ON π-CONE METRIC SPACES OVER BANACH ALGEBRAS
Abou Bakr, Sahar Mohamed Ali
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (03) : 757 - 776
[7] Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
Huang, Huaping
Radenovic, Stojan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 787 - 799
[8] On T-Stability of Picard Iteration in Cone Metric Spaces
Asadi, M.
Soleimani, H.
Vaezpour, S. M.
Rhoades, B. E.
FIXED POINT THEORY AND APPLICATIONS, 2009,
[9] Some fixed point theorems for generalized expansive mappings in cone metric spaces over Banach algebras
Jiang, Binghua
Xu, Shaoyuan
Huang, Huaping
Cai, Zelin
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (06) : 1103 - 1114
[10] A Note on Some Fixed Point Theorems for Generalized Expansive Mappings in Cone Metric Spaces over Banach Algebras
Auwalu, Abba
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997

← 1 2 3 4 5 →