Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem
Abstract 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) = Eͨ...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190001000592019-02-08Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problemAibinu,M. O.Mewomo,O. T. Generalized Φ-strongly monotone surjective property generalized convex optimization Abstract 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100059en10.4067/S0716-09172019000100059 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Generalized Φ-strongly monotone surjective property generalized convex optimization |
| spellingShingle |
Generalized Φ-strongly monotone surjective property generalized convex optimization Aibinu,M. O. Mewomo,O. T. Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| description |
Abstract 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. |
| author |
Aibinu,M. O. Mewomo,O. T. |
| author_facet |
Aibinu,M. O. Mewomo,O. T. |
| author_sort |
Aibinu,M. O. |
| title |
Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| title_short |
Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| title_full |
Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| title_fullStr |
Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| title_full_unstemmed |
Algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| title_sort |
algorithm for the generalized Φ-strongly monotone mappings and application to the generalized convex optimization problem |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100059 |
| work_keys_str_mv |
AT aibinumo algorithmforthegeneralized934stronglymonotonemappingsandapplicationtothegeneralizedconvexoptimizationproblem AT mewomoot algorithmforthegeneralized934stronglymonotonemappingsandapplicationtothegeneralizedconvexoptimizationproblem |
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