New notions of proper efficiency in set optimization with the set criterion
From MaRDI portal
Publication:2095564
DOI10.1007/s10957-022-02088-xOpenAlexW4296185885MaRDI QIDQ2095564
Vicente Novo Sanjurjo, Bienvenido Jiménez, Lidia Huerga
Publication date: 17 November 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-022-02088-x
Lagrange multipliersHenig proper efficiencyset optimizationset criterion of solutionvector criterion of solution
Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Generalizations of ordered sets (06A75)
Related Items (3)
On proper minimality in set optimization ⋮ Cone-compactness of a set and applications to set-equilibrium problems ⋮ Weak Henig proper solution sets for set optimization problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New order relations in set optimization
- Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior
- The Ekeland variational principle for Henig proper minimizers and super minimizers
- Nonconvex scalarization in set optimization with set-valued maps
- An improved definition of proper efficiency for vector maximization with respect to cones
- Proper efficiency with respect to cones
- Connectedness of efficient solution sets for set-valued maps in normed spaces
- Proper efficiency in locally convex topological vector spaces
- The domination property for efficiency in locally convex spaces
- Proper efficiency for set-valued vector optimization problems and vector variational in\-equalities.
- Variational methods in partially ordered spaces
- Six set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimization
- Lagrange multipliers in convex set optimization with the set and vector criteria
- Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces
- Characterization of set relations through extensions of the oriented distance
- Henig proper efficiency in vector optimization with variable ordering structure
- Proper efficiency and the theory of vector maximization
- Vector Optimization
- Optimality conditions for vector equilibrium problems in normed spaces
- Duality for Set-Valued Measures of Risk
- Set-valued optimization in welfare economics
- Proper Efficient Points for Maximizations with Respect to Cones
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- Super Efficiency in Vector Optimization
- Degrees of Efficiency and Degrees of Minimality
- Nonlinear scalarization in multiobjective optimization with a polyhedral ordering cone
- A set scalarization function based on the oriented distance and relations with other set scalarizations
- Six set scalarizations based on the oriented distance: properties and application to set optimization
- Some useful set-valued maps in set optimization
- Set-valued Optimization
This page was built for publication: New notions of proper efficiency in set optimization with the set criterion