On inexact stochastic splitting methods for a class of nonconvex composite optimization problems with relative error
Sign Up to like & getrecommendations! Published in 2022 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2022.2091562
Abstract: We consider minimizing a class of nonconvex composite stochastic optimization problems, and deterministic optimization problems whose objective function consists of an expectation function (or an average of finitely many smooth functions) and a weakly convex… read more here.
Keywords: splitting methods; class nonconvex; error; nonconvex composite ... See more keywords
A regularized alternating direction method of multipliers for a class of nonconvex problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2145-0
Abstract: In this paper, we propose a regularized alternating direction method of multipliers (RADMM) for a class of nonconvex optimization problems. The algorithm does not require the regular term to be strictly convex. Firstly, we prove… read more here.
Keywords: alternating direction; direction method; class nonconvex; regularized alternating ... See more keywords
Optimality conditions and duality results for a new class of nonconvex nonsmooth vector optimization problems
Sign Up to like & getrecommendations! Published in 2021 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2021.2780
Abstract: In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with both inequality and equality constraints defined in a real Banach space is considered. Under the nondifferentiable vectorial (Φ,ρ)w-invexity notion introduced in the… read more here.
Keywords: class nonconvex; optimality conditions; class; new class ... See more keywords