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Journal of Applied Mathematics
Volume 2011 (2011), Article ID 204613, 9 pages
Research Article

Weak Subdifferential in Nonsmooth Analysis and Optimization

Department of Mathematics, Yasar University, 35100 Izmir, Turkey

Received 29 June 2011; Accepted 2 August 2011

Academic Editor: Mark A. Petersen

Copyright © 2011 Şahlar F. Meherrem and Refet Polat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.