Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorUddin, Izhar
dc.contributor.authorGarodia, Chanchal
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2019-10-26T10:46:55Z
dc.date.available2019-10-26T10:46:55Z
dc.date.issued2018-12-11
dc.description.abstractIn this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an application, we discuss the solution of integral equation. Our results extend some of the relevant resultsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe first author is thankful to University Grants Commission, India for the financial assistance in form of BSR-Startupreserach grant. The second author is grateful to University Grants Commission, India, for providing financial assistance in the form of the Junior Research Fellowship. The research of J.J. Nieto has been partially supported by AEI of the Ministerio de Economia y Competitividad of Spain under Grant MTM2016-75140-P and cofinanced by European Community fund FEDER and XUNTA de Galicia under grants GRC2015-004 and R2016/022gl
dc.identifier.citationUddin, I., Garodia, C., & Nieto, J. (2018). Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations. Journal Of Inequalities And Applications, 2018(1). doi: 10.1186/s13660-018-1925-2gl
dc.identifier.doi10.1186/s13660-018-1925-2
dc.identifier.essn1029-242X
dc.identifier.urihttp://hdl.handle.net/10347/19952
dc.language.isoenggl
dc.publisherSpringerOpengl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.1186/s13660-018-1925-2gl
dc.rights© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectCAT(0) spacegl
dc.subjectFixed pointgl
dc.subjectΔ-convergencegl
dc.subjectMonotone nonexpansive mappinggl
dc.titleMann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equationsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2018_jia_uddin_mann.pdf
Size:
1.79 MB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Estatística, Análise Matemática e Optimización