Connectivity of efficient solution sets in vector optimization of set-valued mappings
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Publication:4331988
DOI10.1080/02331939708844267zbMath0867.90099OpenAlexW1995505233MaRDI QIDQ4331988
Publication date: 13 February 1997
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331939708844267
Related Items (10)
Connectedness of the solution sets in generalized semi-infinite set optimization ⋮ Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization. ⋮ \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization ⋮ The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces ⋮ Some characterizations of solution sets of vector optimization problems with generalized order ⋮ Efficient sets of convex compacta are arcwise connected ⋮ On the contractibility and connectedness of an efficient point set. ⋮ Arcwise connectedness of the solution sets for set optimization problems ⋮ Some more density results for proper efficiencies ⋮ Arcwise connectedness of closed efficient point sets
Cites Work
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- Images of connected sets by semicontinuous multifunctions
- An improved definition of proper efficiency for vector maximization with respect to cones
- Some results about nondominated solutions
- Quasiconcave vector maximization: Connectedness of the sets of Pareto- optimal and weak Pareto-optimal alternatives
- Connectedness of the set of nondominated outcomes in multicriteria optimization
- The structure of admissible points with respect to cone dominance
- Connectedness of the efficient set in strictly quasiconcave vector maximization
- General form of the Arrow-Barabkin-Blackwell theorem in normed spaces and the \(l^ \infty\)-case
- On the notion of proper efficiency in vector optimization
- Connectedness of efficient solution sets for set-valued maps in normed spaces
- Generalized Arrow-Barankin-Blackwell theorems in locally convex spaces
- A note on connectivity of efficient solution sets
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- On a Theorem of Arrow, Barankin, and Blackwell
- Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
- A Generalization of a Theorem of Arrow, Barankin, and Blackwell
- On Cone-Efficiency, Cone-Convexity and Cone-Compactness
- Super Efficiency in Vector Optimization
- Density Results for Proper Efficiencies
- Connectedness of the efficient solution set of a convex vector optimization in normed spaces
- Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
- Contractibility of efficient point sets in normed spaces
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