Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems

被引：3
|
作者：
Shukla, Satish [1 ]
Dubey, Nikita [1 ]
Shukla, Rahul [2 ]
机构：
[1] Shri Vaishnav Inst Sci, Dept Math, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli Sanwer Rd, Indore 453331, Madhya Pradesh, India
[2] Walter Sisulu Univ, Dept Math Sci & Comp, ZA-5117 Mthatha, South Africa
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
关键词：
Fixed point; Graphical cone metric space; Banach algebra; Contraction; System of initial value problems; GENERALIZED LIPSCHITZ MAPPINGS; CONTRACTIVE MAPPINGS; BANACH-ALGEBRAS;
D O I：
10.1186/s13660-023-03002-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of graphical cone metric spaces over Banach algebra and prove some fixed point results for a particular type of contractive mappings defined on such spaces. These results extend and generalize several results from metric, graphical metric, and cone metric spaces. Some examples that demonstrate the results proved herein are provided. An application of our results to the existence of solution of a pair of initial value problems is provided.
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页数：20
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