The existence of contingent epiderivative for a set-valued mapping and vector variational-like inequalities

DOI10.1186/1029-242X-2013-352zbMath1283.49015WikidataQ59301083 ScholiaQ59301083MaRDI QIDQ2437665

Yanying Li, Yan-Fei Chai, San-Yang Liu

Publication date: 13 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

set-valued optimizationcontingent epiderivativeideal minimal pointsstrong variational-like inequalities

Mathematics Subject Classification ID

Derivative-free methods and methods using generalized derivatives (90C56) Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Cites Work

• On vector variational-like inequalities and set-valued optimization problems
• A duality theory for set-valued functions. I: Fenchel conjugation theory
• About contingent epiderivatives
• Vector optimization and variational-like inequalities
• On subdifferentials of set-valued maps
• Optimality conditions for set-valued optimization problems
• Contingent epiderivatives and set-valued optimization
• The existence of contingent epiderivatives for set-valued maps
• Relationships between vector variational-like inequality and optimization problems
• Weak Clarke epiderivative in set-valued optimization
• Vector variational-like inequalities and non-smooth vector optimization problems
• Variational characterization of the contingent epiderivative
• On the Existence of Pareto Efficient Points

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