Nonsmooth Continuous-time Multiobjective Optimization Problems |
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A. B. San Martin A.M. Moya Banach space Batista dos Santos Clarke regular closed convex subsets conditions of optimality constraint qualification 12 Continuous-Time Multiobjective Optimization contradicts Corollary Covariant Derivatives denoted directional derivative exist µ Extensor Fields Figueiredo and Marcelo fj(t function defined function n(x(t Furtado g₁(t Geometric Algebra gi(t gradient Hence integrably bounded interim hypothesis inver invex at x(t invexity hypothesis Lebesgue measurable Let F lim sup Lipschitz function M.A. Rojas-Medar Marcelo F measurable functions mono-objective Multivector and Extensor nonempty subset nonzero normed space Øj(x Org(t Osuna-Gómez problem VCNP properly efficient solution regular and invex RELATÓRIOS DE PESQUISA respect Rocha Semigroups solution of problem solution of VCNP strictly inver sufficient conditions support functions Suppose further Suppose that f,(t Theorem 3.3 throughout 0,T unit ball V. V. Fernández W.A. Rodrigues Jr weak efficient solution Σ µ Σµ