Scalar representation and conjugation of set-valued functions
From MaRDI portal
Publication:4981853
DOI10.1080/02331934.2012.741126zbMath1311.49044arXiv1011.5860OpenAlexW1981684141MaRDI QIDQ4981853
Publication date: 20 March 2015
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.5860
Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Duality theory (optimization) (49N15)
Related Items (max. 100)
Applying set optimization to weak efficiency ⋮ Set Relations via Families of Scalar Functions and Approximate Solutions in Set Optimization
Uses Software
Cites Work
- The directional subdifferential of the difference of two convex functions
- Vectorization of set-valued maps with respect to total ordering cones and its applications to set-valued optimization problems
- A duality theory for set-valued functions. I: Fenchel conjugation theory
- Multivariate risks and depth-trimmed regions
- Conjugate convex operators
- Approximation to a set-valued mapping. I: A proposal
- Scalar convergence of convex sets
- Variational methods in partially ordered spaces
- \(({\ast},s)\)-dualities
- Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization
- Vector-valued coherent risk measures
- On convergence of closed convex sets
- Vector Optimization with Infimum and Supremum
- A Fenchel–Rockafellar duality theorem for set-valued optimization
- Duality for Set-Valued Measures of Risk
- Quadratic optimal control problems for nonlinear damped second order systems in Hilbert spaces
- Optimization with set relations: conjugate duality
This page was built for publication: Scalar representation and conjugation of set-valued functions