9 citations · 25 across the 10 of their papers we have counts for
10 papers
Vector Optimization with Domination Structures: Variational Principles and Applications
Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran +1
This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.…
Variational analysis and variational rationality in behavioral sciences: stationary traps
Boris Mordukhovich, Antoine Soubeyran
This paper concerns applications of variational analysis to some local aspects of behavioral science modeling by developing an effective variational rationality approach to these a…
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…
Some comparisons between the Variational rationality, Habitual domain, and DMCS approaches
G. C. Bento, A. Soubeyran
The "Habitual domain" (HD) approach and the "Variational rationality" (VR) approach belong to the same strongly interdisciplinary and very dispersed area of research: human stabili…
Proximal algorithms with Bregman distances for bilevel equilibrium problems with application to the problem of "how routines form and change" in Economics and Management Sciences
G. C. Bento, J. X. Cruz Neto, P. A. Soares +1
In this paper we present the bilevel equilibrium problem under conditions of pseudomonotonicity. Using Bregman distances on Hadamard manifolds we propose a framework for to analyse…
Variational principles in models of behavioral sciences
T. Q. Bao, B. S. Mordukhovich, A. Soubeyran
This paper develops some mathematical models arising in behavioral sciences, particularly in psychology, which are formalized via general preferences with variable ordering structu…
Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds
G. C. Bento, J. X. Cruz Neto, P. A. Soares +1
In this paper we present a sufficient condition for the existence of a solution for an equilibrium problem on an Hadamard manifold and under suitable assumptions on the sectional c…
The self regulation problem as an inexact steepest descent method for multicriteria optimization
G. C. Bento, J. X. Cruz Neto, P. R. Oliveira +1
In this paper, we study an inexact steepest descent method, with Armijo's rule, for multicriteria optimization. The sequence generated by the method is guaranteed to be well-define…
Worthwhile-to-move behaviors as temporary satisficing without too many sacrificing processes
Hedy Attouch, Antoine Soubeyran
The worthwhile-to-move incremental principle is a mechanism where, at each step, the agent, before moving and after exploration around the current state, compares intermediate adva…
Proximal alternating minimization and projection methods for nonconvex problems. An approach based on the Kurdyka-Lojasiewicz inequality
Hedy Attouch, Jerome Bolte, Patrick Redont +1
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: , where $f:\R^n\right…