Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application
type: Item
instance of: scholarly article
title: Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application
zbMATH Open document ID: 1473.54048
author: Binayak S. Choudhury
author: N. Metiya
author: Sunirmal Kundu
published in: The Journal of Analysis
publication date: 2021-05-21T00:00:00Z
review text: The authors consider a coupled fixed point problem with the assumption that the mapping satisfies a contractive inequality condition involving a special type of function known as \(\mathbf{C}\)-class function in metric spaces. The authors prove the existence and uniqueness of a coupled fixed point of such mappings. The well-posedness of the problem is also investigated. The main result is illustrated with an example. The authors also discuss an application of the fixed point result to a problem of functional equations which is relevant to dynamic programming. .
reviewed by: Memudu Olaposi Olatinwo
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7350495
zbMATH Keywords: metric space
zbMATH Keywords: coupled fixed point
zbMATH Keywords: \(\mathbf{C}\)-class function
zbMATH Keywords: dominated mapping
zbMATH Keywords: well-posedness
MaRDI profile type: Publication
full work available at URL: s41478-020-00258-6
OpenAlex ID: W3043682391
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DOI: 10.1007/S41478-020-00258-6
description: scientific article; zbMATH DE number 7350495