Proto-differentiability of set-valued mappings and its applications in optimization
R. T. Rockafellar (1989)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Local cone approximations in optimization”
Proto-differentiability of set-valued mappings and its applications in optimization
Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps.
Xu, Y.D., Li, S.J. (2011)
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Optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity.
Qiu, Qiusheng (2009)
Journal of Inequalities and Applications [electronic only]
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Optimality conditions of vector set-valued optimization problem involving relative interior.
Zhou, Zhiang (2011)
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Optimality conditions for approximate solutions in multiobjective optimization problems.
Gao, Ying, Yang, Xinmin, Lee, Heung Wing Joseph (2010)
Journal of Inequalities and Applications [electronic only]
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Optimality conditions for a class of mathematical programs with equilibrium constraints: strongly regular case
Jiří V. Outrata (1999)
Kybernetika
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The paper deals with mathematical programs, where parameter-dependent nonlinear complementarity problems arise as side constraints. Using the generalized differential calculus for nonsmooth and set-valued mappings due to B. Mordukhovich, we compute the so-called coderivative of the map assigning the parameter the (set of) solutions to the respective complementarity problem. This enables, in particular, to derive useful 1st-order necessary optimality conditions, provided the complementarity...