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A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings

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dc.contributor.author Wega, Getahun Bekele
dc.contributor.author Habtu, Zegeye Hailu
dc.contributor.author Boikanyo, Oganeditse
dc.date.accessioned 2021-09-11T15:44:54Z
dc.date.available 2021-09-11T15:44:54Z
dc.date.issued 2020-07-08
dc.identifier.citation Wega, G. B., Zegeye, H., and Boikanyo, O. A. (2020) A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings. Demonstratio Mathematica, 53(1): 152-166. https://doi.org/10.1515/dema-2020-0010 en_US
dc.identifier.issn 04201213
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/345
dc.description.abstract The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings. en_US
dc.description.sponsorship The funding received from Simons Foundation based at Botswana International University of Science and Technology (BIUST). en_US
dc.language.iso en en_US
dc.publisher De Gruyter en_US
dc.subject Hilbert spaces en_US
dc.subject Zero points en_US
dc.subject Strong convergence en_US
dc.subject Maximally monotone mapping en_US
dc.subject Firmly nonexpansive en_US
dc.title A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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