A steepest descent method for set optimization problems with set-valued mappings of finite cardinality
From MaRDI portal
Publication:2231334
DOI10.1007/s10957-021-01887-yzbMath1478.90116arXiv2107.12122OpenAlexW3184796014MaRDI QIDQ2231334
Ernest Quintana, Gemayqzel Bouza Allende, Christiane Tammer
Publication date: 29 September 2021
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.12122
Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (2)
A Vectorization Scheme for Nonconvex Set Optimization Problems ⋮ Conjugate duality in set optimization via nonlinear scalarization
Uses Software
Cites Work
- Minmax robustness for multi-objective optimization problems
- Concepts of efficiency for uncertain multi-objective optimization problems based on set order relations
- New order relations in set optimization
- Multiobjective search algorithm with subdivision technique
- Nonsmooth analysis
- Variational methods in partially ordered spaces
- Partial order relations on family of sets and scalarizations for set optimization
- Min-ordering and max-ordering scalarization methods for multi-objective robust optimization
- A steepest descent method for vector optimization
- On set-valued optimization.
- An algorithmic approach to multiobjective optimization with decision uncertainty
- The relationship between multi-objective robustness concepts and set-valued optimization
- Generalized multiobjective robustness and relations to set-valued optimization
- A unified characterization of nonlinear scalarizing functionals in optimization
- A derivative-free descent method in set optimization
- Robust Convex Optimization
- CVXPY: A Python-Embedded Modeling Language for Convex Optimization
- Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization
- Vector Optimization
- Steepest descent methods for critical points in vector optimization problems
- New algorithms for discrete vector optimization based on the Graef-Younes method and cone-monotone sorting functions
- Introduction to Derivative-Free Optimization
- Cutting-set methods for robust convex optimization with pessimizing oracles
- On Finding the Maxima of a Set of Vectors
- On cone convexity of set-valued maps
- The Fermat Rule for Set Optimization Problems with Lipschitzian Set-Valued Mappings
- Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems
- Outer limits of subdifferentials for min–max type functions
- Set-valued Optimization
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A steepest descent method for set optimization problems with set-valued mappings of finite cardinality