Search Results - "Cruz Neto, J. X."
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A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem
Published in Annals of operations research (01-06-2020)“…The purpose of this paper is twofold. First, we examine convergence properties of an inexact proximal point method with a quasi distance as a regularization…”
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2
A Subgradient Method for Multiobjective Optimization on Riemannian Manifolds
Published in Journal of optimization theory and applications (01-10-2013)“…In this paper, a subgradient-type method for solving nonsmooth multiobjective optimization problems on Riemannian manifolds is proposed and analyzed. This…”
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3
Proximal Point Method on Finslerian Manifolds and the “Effort–Accuracy” Trade-off
Published in Journal of optimization theory and applications (01-09-2014)“…In this paper, we consider minimization problems with constraints. We show that, if the set of constraints is a Finslerian manifold of non-positive flag…”
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4
A relaxed projection method for solving multiobjective optimization problems
Published in European journal of operational research (01-01-2017)“…•A nonsmooth method for multiobjective programming is proposed.•A reflection technique avoids projections on the original constraint set.•The convergence to a…”
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5
On maximal monotonicity of bifunctions on Hadamard manifolds
Published in Journal of global optimization (01-11-2018)“…We study some conditions for a monotone bifunction to be maximally monotone by using a corresponding vector field associated to the bifunction and vice versa…”
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6
Central Paths in Semidefinite Programming, Generalized Proximal-Point Method and Cauchy Trajectories in Riemannian Manifolds
Published in Journal of optimization theory and applications (01-11-2008)“…The relationships among the central path in the context of semidefinite programming, generalized proximal-point method and Cauchy trajectory in a Riemannian…”
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7
An Inexact Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds
Published in Journal of optimization theory and applications (01-10-2013)“…In this paper, we present an inexact version of the steepest descent method with Armijo’s rule for multicriteria optimization in the Riemannian context given…”
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8
A subgradient method for multiobjective optimization
Published in Computational optimization and applications (01-04-2013)“…A method for solving quasiconvex nondifferentiable unconstrained multiobjective optimization problems is proposed in this paper. This method extends to the…”
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9
Interior Proximal Algorithm for Quasiconvex Programming Problems and Variational Inequalities with Linear Constraints
Published in Journal of optimization theory and applications (01-07-2012)“…In this paper, we propose two interior proximal algorithms inspired by the logarithmic-quadratic proximal method. The first method we propose is for general…”
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10
Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm
Published in Annals of operations research (01-09-2022)“…In this paper we introduce a definition of approximate Pareto efficient solution as well as a necessary condition for such solutions in the multiobjective…”
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11
Abstract regularized equilibria: application to Becker’s household behavior theory
Published in Annals of operations research (01-09-2022)“…In this paper, we consider an abstract regularized method with a skew-symmetric mapping as regularization for solving equilibrium problems. The regularized…”
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12
A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires
Published in Annals of operations research (01-09-2022)“…In this paper, we introduce a new proximal algorithm for equilibrium problems on a genuine Hadamard manifold, using a new regularization term. We first extend…”
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13
A proximal method with separable Bregman distances for quasiconvex minimization over the nonnegative orthant
Published in European journal of operational research (01-03-2010)“…We present an interior proximal method with Bregman distance, for solving the minimization problem with quasiconvex objective function under nonnegative…”
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14
An interior proximal linearized method for DC programming based on Bregman distance or second-order homogeneous kernels
Published in Optimization (03-07-2019)“…We present an interior proximal method for solving constrained nonconvex optimization problems where the objective function is given by the difference of two…”
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15
A weighting subgradient algorithm for multiobjective optimization
Published in Optimization letters (01-03-2018)“…We propose a weighting subgradient algorithm for solving multiobjective minimization problems on a nonempty closed convex subset of an Euclidean space. This…”
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16
On a Bregman regularized proximal point method for solving equilibrium problems
Published in Optimization letters (01-07-2019)“…In this paper, we propose a Bregman regularized proximal point method for solving monotone equilibrium problems. Existence and uniqueness results as well as…”
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17
The self regulation problem as an inexact steepest descent method for multicriteria optimization
Published in European journal of operational research (16-06-2014)“…•A review of an inexact steepest descent method for multicriteria optimization.•Full convergence of the sequence generated to a Pareto critical point under…”
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18
Convex- and Monotone-Transformable Mathematical Programming Problems and a Proximal-Like Point Method
Published in Journal of global optimization (01-05-2006)“…The problem of finding the singularities of monotone vectors fields on Hadamard manifolds will be considered and solved by extending the well-known proximal…”
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19
A minimization algorithm for equilibrium problems with polyhedral constraints
Published in Optimization (03-05-2016)“…Our aim in this paper is to study an infeasible interior proximal method for solving equilibrium problems with polyhedral constrains in a quasiconvex setting…”
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20
Finite termination of the proximal point method for convex functions on Hadamard manifolds
Published in Optimization (01-09-2014)“…In this article, we proved that the sequence generated by the proximal point method, associated to a unconstrained optimization problem in the Riemannian…”
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