Results 241 to 250 of about 1,819,004 (284)
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Hartley Proper Efficiency in Multifunction Optimization
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, D. S., Lee, G. M., Sach, P. H.
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On Characterizations of Proper Efficiency for Nonconvex Multiobjective Optimization
Journal of Global Optimization, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X. X. Huang, X. Q. Yang
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Density Results for Proper Efficiencies
SIAM Journal on Control and Optimization, 1994Concepts of proper efficiency in vector optimization generally exclude some efficient points, which are anomalous in a special (concept- dependent) kind. Therefore it is important to study density results: sufficient conditions to guarantee that the closure of the set of properly efficient points contains all efficient points.
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European Journal of Operational Research, 1983
Abstract The centrol concept of proper efficiency has been largely that of Geoffrion. There are, however, other concepts, and this paper considers two of them, viz. those of Klinger and Kuhn and Tucker, in relationship to each other and to Geoffrion. This is done in terms of various properties which characterise the efficient sets.
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Abstract The centrol concept of proper efficiency has been largely that of Geoffrion. There are, however, other concepts, and this paper considers two of them, viz. those of Klinger and Kuhn and Tucker, in relationship to each other and to Geoffrion. This is done in terms of various properties which characterise the efficient sets.
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Henig proper efficient points and generalized Henig proper efficient points
Acta Mathematica Sinica, English Series, 2009Let \(X\) be a real locally convex space (l.c.s) and \(S\) a closed convex pointed cone in \(X\). A~convex subset \(\Theta\) of \(X\) is called a base for \(S\) if \(0\notin\) cl\((\Theta)\) and \(S=\)cone\((\Theta)\). A point \(\bar x\) in a subset \(A\) of \(X\) is called an efficient point of \(A\) with respect to the order given by \(S\) if \((A ...
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Strong Duality for Proper Efficiency in Vector Optimization
Journal of Optimization Theory and Applications, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sach, P. H., Kim, D. S., Lee, G. M.
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Dual Characterization and Scalarization for Benson Proper Efficiency
SIAM Journal on Optimization, 2008By using dual cones and their properties, we establish a fundamental dual characterization and scalarization for Benson proper efficient points without any additional assumption on the ordering cone. From this, we obtain several scalarization theorems and Lagrange multiplier theorems for Benson proper minimizers of optimization problems with nearly ...
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Efficiency and proper efficiency in nonlinear vector maximum problems
European Journal of Operational Research, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gulati, T. R., Islam, M. A.
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Proper Efficiency in Vector Optimization on Real Linear Spaces
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V Novo
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Proper efficiency with respect to cones
Journal of Optimization Theory and Applications, 1982Strict separation by a cone is used here to redefine proper efficiency. Two versions of the properness, which unify and generalize known definitions, are presented. Necessary and sufficient conditions for the existence of the set of properly efficient decisions and characterization of this set in terms of the supports of the decision set are given.
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