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A Refined Proximal Algorithm for Nonconvex Multiobjective Optimization in Hilbert Spaces
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
This paper is devoted to general nonconvex problems of multiobjective optimization in Hilbert spaces. Based on Mordukhovich's limiting subgradients, we define a new notion of Paret…
A proximal point algorithm with generalized proximal distances to BEPs
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a proximal point method with generalized proximal distan…
An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifold
E. E. A. Batista, G. C. Bento, O. P. Ferreira
A sufficient condition for the existence of a solution for generalized vector equilibrium problem (GVEP) on Hadamard manifold, by using a version of KKM lemma on this context, is p…