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2011 Weak Subdifferential in Nonsmooth Analysis and Optimization
Şahlar F. Meherrem, Refet Polat
J. Appl. Math. 2011: 1-9 (2011). DOI: 10.1155/2011/204613

Abstract

Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary optimality condition by using the weak subdifferential in this paper.

Citation

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Şahlar F. Meherrem. Refet Polat. "Weak Subdifferential in Nonsmooth Analysis and Optimization." J. Appl. Math. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/204613

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1227.49024
MathSciNet: MR2835689
Digital Object Identifier: 10.1155/2011/204613

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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