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
This work presents two different types of proximal gradient methods, with line search and without line search, for solving unconstrained set-valued optimization problems under the…
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
This work introduces a nonlinear Hager-Zhang conjugate gradient method for solving set optimization problems. The objective function under consideration is defined by a finite coll…
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…