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| dc.contributor.author | Wega, Getahun Bekele | |
| dc.contributor.author | Habtu, Zegeye Hailu | |
| dc.contributor.author | Boikanyo, Oganeditse A | |
| 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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