Home  /  Proyecciones  /  Vol: 38 Núm: 1 Par: 0 (2019)  /  Article
ARTICLE
TITLE

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

SUMMARY

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 F-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) = Ø, we construct an algorithm which converges strongly to the solution of 0 ? Ax. The result is then applied to the generalized convex optimization problem.

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