Optimality conditions in nonconical multiple objective programming
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Publication:1166418
DOI10.1007/BF00934630zbMath0488.90064MaRDI QIDQ1166418
Thomas L. Morin, Gordon B. Hazen
Publication date: 1983
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
vector optimizationexistence theoremsefficient solutionsfirst-order optimality conditionsnormed linear spacesnondominated solutionmultiple objective optimizationcompactness conditionsnoncanonical order
Related Items (18)
A survey of vector optimization in infinite-dimensional spaces. II ⋮ On existence of cone-maximal points in real topological linear spaces ⋮ On the notion of proper efficiency in vector optimization ⋮ On the existence of maximal elements for partial preorders ⋮ A note on convex cones in topological vector spaces ⋮ Approximation of nonconical preference relations in multiple-criteria decision problems ⋮ Advancing equitability in multiobjective programming ⋮ Existence of maximal points with respect to ordered bipreference relations ⋮ Convexity of the optimal multifunctions and its consequences in vector optimization ⋮ Brezis-Browder Principles and Applications ⋮ Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions ⋮ Parametrized multicriteria optimization; order continuity of the marginal multifunctions ⋮ Existence of efficient points in vector optimization and generalized Bishop-Phelps theorem ⋮ Comparison of existence results for efficient points ⋮ Nonconical optimality conditions: Some additional results ⋮ Steepest ascent algorithms for nonconical multiple objective programming ⋮ On efficient sets in vector maximum problems - A brief survey ⋮ Extension of the Zorn lemma to general nontransitive binary relations
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