vector optimization 2conjugate gradient method 1convergence analysis 1global convergence 1line search 1proximal gradient methods 1scalarization 1set optimization 1set-valued optimization 1weak minimal points 1wolfe line search 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.OC2026
Proximal Gradient Methods for Unconstrained Set Optimization Problems with Set-Valued Maps of Finite Cardinality
Ravi Raushan, Debdas Ghosh, Anshika +1
The paper proposes two proximal gradient algorithms (with and without an Armijo‑type line search) for unconstrained set‑valued optimization problems with finitely many component fu…
math.OC2026
Hager-Zhang Conjugate Gradient Method for Set Optimization with Set-Valued Objective Map of Finite Cardinality
Ravi Raushan, Debdas Ghosh, Zai-Yun Peng
The paper proposes a nonlinear Hager‑Zhang conjugate gradient algorithm for set optimization problems with a finite collection of differentiable objective functions, establishing W…
math.OC2024
Nonlinear Conjugate Gradient Methods for Optimization of Set-Valued Mappings of Finite Cardinality
Debdas Ghosh, Ravi Raushan, Zai-Yun Peng +1
This article presents nonlinear conjugate gradient methods for finding local weakly minimal points of set-valued optimization problems under a lower set less ordering relation. The…