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SOME RESULTS ON THE MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH CONVEX FUNCTIONS

Authors
Cho, Sun Young
Issue Date
2025
Publisher
Yokohama Publishers
Keywords
Multiobjective optimization; random functions; variational analysis
Citation
Journal of Nonlinear and Convex Analysis, v.26, no.3, pp 529 - 539
Pages
11
Indexed
SCIE
SCOPUS
Journal Title
Journal of Nonlinear and Convex Analysis
Volume
26
Number
3
Start Page
529
End Page
539
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/77561
ISSN
1345-4773
1880-5221
Abstract
The aim of this paper is to study a stochastic version of the mul-tiobjective optimization problems whose objectives are the expected values of convex and random functions based on a stochastic variational inequality. It is proved that solutions to the stochastic variational inequality is a Pareto optimization solution to the stochastic version of the multiobjective optimization. A subgradient-like algorithm is proposed to find solutions. The almost sure convergence is proved as well. © 2025 Yokohama Publications. All rights reserved.
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