A subgradient-like algorithm for solving vector convex inequalities

dc.creatorCruz, José Yunier Bello
dc.creatorPérez, Luis Román Lucambio
dc.date.accessioned2017-09-12T17:37:33Z
dc.date.available2017-09-12T17:37:33Z
dc.date.issued2013
dc.description.resumoIn this paper, we propose a strongly convergent variant of Robinson’s subgradient algorithm for solving a system of vector convex inequalities in Hilbert spaces. The advantage of the proposed method is that it converges strongly, when the problem has solutions, under mild assumptions. The proposed algorithm also has the following desirable property: the sequence converges to the solution of the problem, which lies closest to the starting point and remains entirely in the intersection of three balls with radius less than the initial distance to the solution set.pt_BR
dc.identifier.citationCRUZ, J.Y. Bello; PÉREZ, L.R. Lucambio. A subgradient-like algorithm for solving vector convex inequalities. SIAM Journal on Optimization, Nova York, v. 23, n. 4, p. 2169-2182, 2013.pt_BR
dc.identifier.doi10.1007/s10957-013-0300-1
dc.identifier.urihttp://repositorio.bc.ufg.br/handle/ri/12418
dc.language.isoengpt_BR
dc.publisher.countryEstados Unidospt_BR
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RG)pt_BR
dc.rightsAcesso Abertopt_BR
dc.subjectProjection methodspt_BR
dc.subjectStrong convergencept_BR
dc.subjectSubgradient algorithmpt_BR
dc.subjectVector convex functionspt_BR
dc.titleA subgradient-like algorithm for solving vector convex inequalitiespt_BR
dc.typeArtigopt_BR

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