Title
Inexact Proximal Point Methods for Multiobjective Quasiconvex Minimization on Hadamard Manifolds
Date Issued
01 September 2020
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Springer
Abstract
In this paper, we present two inexact scalarization proximal point methods to solve quasiconvex multiobjective minimization problems on Hadamard manifolds. Under standard assumptions on the problem, we prove that the two sequences generated by the algorithms converge to a Pareto critical point of the problem and, for the convex case, the sequences converge to a weak Pareto solution. Finally, we explore an application of the method to demand theory in economy, which can be dealt with using the proposed algorithm.
Start page
879
End page
898
Volume
186
Issue
3
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-85089012992
Source
Journal of Optimization Theory and Applications
ISSN of the container
00223239
Sources of information: Directorio de Producción Científica Scopus