Work

Nonmonotone Proximal Gradient Method for Composite Multiobjective Optimization Problems

Year: 2025

Type: article

Abstract: In this paper, we introduce proximal gradient methods with non-monotone Armijo line search rule of both kinds, max-type and average-type, to solve composite multiobjective optimization problems (CMOP). Moreover, the convergence analysis is given, and we show that all accumulation points of a sequence generated by both of the two kinds of nonmonotone proximal gradient methods are Pareto stationary points of (CMOP). Finally, we present numerical experiments illustrating the practical performance of these methods

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02667-8

Authors: Jian-Wen Peng, Hua Sun, Elisabeth Köbis

Institutions: Chongqing Normal University, Norwegian University of Science and Technology

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Norges Teknisk-Naturvitenskapelige Universitet, National Natural Science Foundation of China, St. Olavs Hospital Universitetssykehuset i Trondheim