Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle
From MaRDI portal
Publication:850563
DOI10.1007/s11117-004-2770-8zbMath1110.49018OpenAlexW2163613677MaRDI QIDQ850563
Christiane Tammer, George Isac
Publication date: 3 November 2006
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-004-2770-8
Variational inequalities (49J40) Set-valued and variational analysis (49J53) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)
Related Items
The Ekeland variational principle for Henig proper minimizers and super minimizers ⋮ Nuclear cones in product spaces, pareto efficiency and Ekeland-type variational principles in locally convex spaces ⋮ Minimal elements for product orders ⋮ Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications ⋮ Characterization of approximate solutions of vector optimization problems with a variable order structure ⋮ On semicomplete cones ⋮ Normality and nuclearity of convex cones ⋮ A pre-order principle and set-valued Ekeland variational principle ⋮ Pseudo-metric space and fixed point theorem ⋮ Full nuclear cones and a relation between strong optimization and Pareto efficiency ⋮ Vector variational principles for set-valued functions ⋮ Vector variational principle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonconvex separation theorems and some applications in vector optimization
- Convex functions, monotone operators and differentiability.
- Pareto optimization in topological vector spaces
- Ekeland's principle and nuclear cones: a geometrical aspect
- Supernormal cones and fixed point theory
- The strong Ekeland variational principle, the strong drop theorem and applications
- A unified approach to the existing three types of variational principles for vector valued functions
- On the existence of efficient points in locally convex spaces
- On vector variational inequalities: Application to vector equilibria
- General Ekeland's variational principle for set-valued mappings.
- A remark on Ekeland's principle in locally convex topological vector spaces.
- Full nuclear cones associated to a normal cone. Application to Pareto efficiency.
- Inclusion theorems for non-explosive and strongly exposed cones in normed spaces
- On the variational principle
- On the vectorial Ekeland's variational principle and minimal points in product spaces
- A vector variational inequality and optimization over an efficient set
- Nonconvex minimization problems
- Continuity and Differentiability Properties of Convex Operators
- Equivalents of Ekeland's principle
- Vector variational inequality and its duality
- A generalization of ekellandz’s variational principle
- Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions
- A nonconvex vector minimization problem
- A note on a class of cones ensuring the existence of efficient points in bounded complete sets1
- Convex programming and variational inequalities