A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces

dc.contributor.authorUgwunnadi, Godwin Chidi
dc.contributor.authorKhan, Abdul Rahim
dc.contributor.authorAbbas, Mujahid
dc.date.accessioned2018-06-04T05:14:32Z
dc.date.issued2018-06
dc.description.abstractWe introduce a hybrid proximal point algorithm and establish its strong convergence to a common solution of a proximal point of a lower semi-continuous mapping and a fixed point of a demicontractive mapping in the framework of a CAT(0) space. As applications of our new result, we solve variational inequality problems for these mappings on a Hilbert space. Illustrative example is given to validate theoretical result obtained herein.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2019-06-01
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipThe Deanship of Scientific Research (DSR) at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through project no. IN151014.en_ZA
dc.description.urihttp://link.springer.com/journal/11784en_ZA
dc.identifier.citationUgwunnadi, G.C., Khan, A.R. & Abbas, M. J. A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces. ournal of Fixed Point Theory and Applications. (2018) 20: 82. https://doi.org/10.1007/s11784-018-0555-0.en_ZA
dc.identifier.issn1661-7738 (print)
dc.identifier.issn1661-7746 (online)
dc.identifier.other10.1007/s11784-018-0555-0
dc.identifier.urihttp://hdl.handle.net/2263/65079
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Springer International Publishing AG, part of Springer Nature 2018. The original publication is available at : http://link.springer.com/journal/11784.en_ZA
dc.subjectProximal pointen_ZA
dc.subjectCAT(0) spaceen_ZA
dc.subjectStrong convergenceen_ZA
dc.subject△ convergenceen_ZA
dc.subjectFixed pointen_ZA
dc.subjectDemicontractive mappingen_ZA
dc.titleA hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spacesen_ZA
dc.typePostprint Articleen_ZA

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