Cone-Henig Subdifferentials of Set-Valued Maps in Locally Convex Spaces.

Authors

  • Guolin Yu Beifang University of Nationalities

DOI:

https://doi.org/10.24297/jam.v5i3.7241

Keywords:

Set-valued mapping, Henig efficiency, Subgradient, Subdifferential, Stability

Abstract

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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Author Biography

Guolin Yu, Beifang University of Nationalities

Research Institute of Information and System Computation Science, Beifang University of Nationalities,
Yinchuan 750021, P. R. China

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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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Section

Articles