Fixed Point Theorems in Graphical Cone Metric Spaces and Application to a System of Initial Value Problems

Title: Fixed Point Theorems in Graphical Cone Metric Spaces and Application to a System of Initial Value Problems
Creator: Shukla, Satish
Creator: Dubey, Nikita
Creator: Shukla, Rahul
Subject: Fixed point
Subject: Graphical cone metric
Subject: Banach algebra
Subject: Contractions
Subject: System of initial value problems
Date Issued: 2023
Date: 2023
Type: Article
Identifier: http://hdl.handle.net/11260/14392
Identifier: vital:79306
Identifier: DOI: https://doi.org/10.1186/s13660-023-03002-3
Description: In this paper, we introduce the notion of graphical cone metric spaces over Banachalgebra and prove some fixed point results for a particular type of contractivemappings defined on such spaces. These results extend and generalize several resultsfrom metric, graphical metric, and cone metric spaces. Some examples thatdemonstrate the results proved herein are provided. An application of our results tothe existence of solution of a pair of initial value problems is provided.
Language: English
Relation: Journal of Inequalities and Application
Relation: Shukla, S., Dubey, N. and Shukla, R. Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems. J Inequal Appl 2023, 91 (2023). https://doi.org/10.1186/s13660-023-03002-3
Relation: Journal of Inequalities and Application vol 91 issue 1 20 2023 https://doi.org/10.1186/s13660-023-03002-3

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