Implicit-relation-type cyclic contractive mappings and applications to integral equations
type: Item
instance of: scholarly article
title: Implicit-relation-type cyclic contractive mappings and applications to integral equations
zbMATH Open document ID: 1387.54029
DOI: 10.1155/2012/386253
author: Hemant Kumar Nashine
author: Zoran Kadelburg
author: Poom Kumam
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: We introduce an implicit-relation-type cyclic contractive condition for a map in a metric space and derive existence and uniqueness results of fixed points for such mappings. Examples are given to support the usability of our results. At the end of the paper, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 6116383
zbMATH Keywords: cyclic contractive condition
zbMATH Keywords: existence and uniqueness of fixed points
zbMATH Keywords: solutions of nonlinear integral equations
Wikidata QID: Q58696476
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/386253
OpenAlex ID: W2108970603
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description: scientific article; zbMATH DE number 6116383