P. Roberto Oliveira

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In this paper we propose a scalarization proximal point method to solve multiobjective unconstrained minimization problems with locally Lipschitz and quasiconvex vector functions. We prove, under natural assumptions, that the sequence generated by the method is well defined and converges globally to a Pareto-Clarke critical point. Our method may be seen as(More)
The prevalence of Leptospirosis in goat herds of the State of Minas Gerais has seldom been studied. The present research had as its objectives: (1) investigate the seroprevalence of Leptospirosis in the county of Uberlândia, MG, (2) verify the Leptospirosis serovars, and (3) identify the risk factors associated with infection on the farms examined. Serum(More)
This paper studies the vector optimization problem of finding weakly efficient points for maps from R to R, with respect to the partial order induced by a closed, convex, and pointed cone C ⊂ R, with nonempty interior. We develop for this problem an extension of the proximal point method for scalar-valued convex optimization problem with a modified(More)
In this paper we propose an extension of the proximal point method to solve minimization problems with quasiconvex locally Lipschitz objective functions on Hadamard manifolds. To reach this goal, we use the concept of Clarke subdifferential on Hadamard manifolds and assuming that the function is bounded from below, we prove the global convergence of the(More)
In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the(More)
BACKGROUND The purpose of the current study was to compare strength and hypertrophy responses to resistance training programs that instituted constant rest intervals (CI) and decreasing rest intervals (DI) between sets over the course of eight weeks by trained men who supplemented with creatine monohydrate (CR). METHODS Twenty-two recreationally trained(More)
We present a proximal point method to solve multiobjective problems based on the scalarization for maps. We build a family of a convex scalar strict representation of a convex map F with respect to the lexicographic order on R and we add a variant of the logarithmquadratic regularization of Auslender, where the unconstrained variables in the domain of F are(More)