Copy For Citation
İNCEOĞLU G.
TURKISH JOURNAL OF MATHEMATICS, vol.45, no.2, pp.955-960, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
45
Issue:
2
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Publication Date:
2021
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Doi Number:
10.3906/mat-2010-22
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Journal Name:
TURKISH JOURNAL OF MATHEMATICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
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Page Numbers:
pp.955-960
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Keywords:
Second-order weak subgradient, second-order weak subdifferential, lower semicontinuity, lower Lipschitz function
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Anadolu University Affiliated:
Yes
Abstract
This article deals with second-order weak subdifferential. Firstly, the concept of second-order weak subdifferential is defined. Next, some of its properties are investigated. The necessary and sufficient condition for a second-order weakly subdifferentiable function to have a global minimum has been proved. It has been proved that a second-order weakly subdifferentiable function is both lower semicontinuous and lower Lipschitz.