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The Lagrange Multiplier Rule in Set-Valued Optimization

Arnulf Götz, Johannes Jahn

SIAM Journal on Optimization · 2000 · 75 citations · 12 references

DOI

Concepts

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistoryPublished online: 31 July 2006Keywordsoptimality conditions, convex and set-valued analysis, vector optimizationAMS Subject Headings49K27, 90C29Publication DataISSN (print): 1052-6234ISSN (online): 1095-7189Publisher: Society for Industrial and Applied MathematicsCODEN: sjope8

References

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Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions.

Jean Aubin · Defense Technical Information Center (DTIC) · 1980 · 227 citations

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Contingent epiderivatives and set-valued optimization

Johannes Jahn · Mathematical Methods of Operations Research · 1997 · 201 citations

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Optimality conditions for maximizations of set-valued functions

H. W. Corley · Journal of Optimization Theory and Applications · 1988 · 176 citations

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Existence and Lagrangian duality for maximizations of set-valued functions

H. W. Corley · Journal of Optimization Theory and Applications · 1987 · 140 citations

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Multivalued convexity and optimization: A unified approach to inequality and equality constraints

Jonathan M. Borwein · Mathematical Programming · 1977 · 131 citations

, , +12