Results 251 to 260 of about 152,676 (293)

On robustness for set-valued optimization problems

Journal of Global Optimization, 2020
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Kuntal Som, Vellaichamy Vetrivel
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Contingent epiderivatives and set-valued optimization

Mathematical Methods of Operations Research, 1997
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Johannes Jahn, Rüdiger Rauh
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Lagrangian Duality in Set-Valued Optimization

Journal of Optimization Theory and Applications, 2007
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Hernández, E., Rodríguez-Marín, L.
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Subdifferentials for Set-valued Maps and Optimality Conditions for Set-valued Vector Optimization

Acta Analysis Functionalis Applicata, 2012
Based on the concept of the weak subdifferential for set-valued maps introduced by Sawaragi and Tanino we give the definition of Henig global subdifferentials for set-valued maps.We investigate the existence condition for this kind of subdifferential,and discuss its operational property.
Xiuling WANG, Xunhua GONG
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K-epiderivatives for set-valued functions and optimization

Mathematical Methods of Operations Research, 2002
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Giancarlo Bigi, Marco Castellani 0002
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Scalarization approaches for set-valued vector optimization problems and vector variational inequalities

Journal of Mathematical Analysis and Applications, 2009
The scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the study of set-valued vector optimization problems and set-valued weak vector optimization problems.
Sy-Ming Guu, Nan-Jing Huang
exaly   +2 more sources

The optimality conditions of nonconvex Set-valued vector optimization

Acta Mathematica Scientia, 2002
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Sheng, Baohuai, Liu, Sanyang
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First-order optimality conditions in set-valued optimization

Mathematical Methods of Operations Research, 2005
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CRESPI GP, IVANOV, IVAN GINCHEV, ROCCA, MATTEO   +2 more
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Explicitly quasiconvex set-valued optimization

Journal of Global Optimization, 2006
The paper begins with some general definitions and preliminary results concerning cone-convex and cone-quasiconvex set-valued maps with values in a real linear space, partially ordered by a relatively solid convex cone. Then, the author introduces the notion of explicitly cone-quasiconvex set-valued map.
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The Lagrange Multiplier Rule in Set-Valued Optimization

SIAM Journal on Optimization, 2000
The authors study a vector optimization problem with set-valued data in normed spaces. By introducing the concept of contingent epiderivative as a single-valued map whose, epigraph coincides with the contingent cone of the epigragh of a set-valued map, they establish a Lagrange multiplier rule for weak minimizers under some convexity hypothesis.
Arnulf Götz, Johannes Jahn
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