Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem.

dc.creator	Aibinu, M. O.
dc.creator	Mewomo, O. T.
dc.date	2019-02-25
dc.identifier	http://www.revistaproyecciones.cl/article/view/3412
dc.description	Let E be a uniformly smooth and uniformly convex real Banach space and E∗ be its dual space. We consider a multivalued mapping A : E → 2E∗ which is bounded, generalized Φ-strongly monotone and such that for all t > 0, the range R(Jp+tA) = E∗, where Jp (p > 1) is the generalized duality mapping from E into 2E∗ . Suppose A−1(0) = ∅, we construct an algorithm which converges strongly to the solution of 0 ∈ Ax. The result is then applied to the generalized convex optimization problem.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/3412/3100
dc.rights	Derechos de autor 2019 Proyecciones. Revista de Matemática	es-ES
dc.rights	http://creativecommons.org/licenses/by-nc-nd/4.0	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 38 No 1 (2019); 59-82	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 38 Núm. 1 (2019); 59-82	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem.	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES