Cone-Henig Subdifferentials of Set-Valued Maps in Locally Convex Spaces.
DOI:
https://doi.org/10.24297/jam.v5i3.7241Keywords:
Set-valued mapping, Henig efficiency, Subgradient, Subdifferential, StabilityAbstract
In locally convex spaces, the concepts of cone-Henig subgradient and cone-Henig subdifferential for the set-valued mapping are introduced through the linear functionals. The theorems of existence for Henig efficient point and cone-Henig subdifferential are proposed, and the sufficient and necessary condition for a linear functional being a cone-Henig subgradient is established.
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Published
2014-01-17
How to Cite
Yu, G. (2014). Cone-Henig Subdifferentials of Set-Valued Maps in Locally Convex Spaces. JOURNAL OF ADVANCES IN MATHEMATICS, 5(3), 761–773. https://doi.org/10.24297/jam.v5i3.7241
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