IJPAM: Volume 20, No. 1 (2005)
SECOND-ORDER OPTIMALITY CONDITIONS
FOR A CONSTRAINED OPTIMIZATION
FOR A CONSTRAINED OPTIMIZATION
Wenhui Zhao
, Yan Gao
School of Management
University of Shanghai for Science and Technology
516 Jungong Road, Shanghai, 200093, P.R. CHINA
e-mail: wenhui_zhao@163.com
e-mail: gaoyan1962@yahoo.com.cn
, Yan Gao
School of Management
University of Shanghai for Science and Technology
516 Jungong Road, Shanghai, 200093, P.R. CHINA
e-mail: wenhui_zhao@163.com
e-mail: gaoyan1962@yahoo.com.cn
Abstract.In this paper, we study an optimization problem
with equality and inequality constraints, where the corresponding
functions have quasidifferentiable gradients. Two second-order
necessary optimality conditions for this problem are proposed. The
differences for convex compact sets proposed by Demyanov, and by
Rubinov and Akhundov are used, respectively.
Received: March 4, 2005
AMS Subject Classification: 49K52, 49J52, 90C26
Key Words and Phrases: second-order optimality conditions, optimization, nonsmooth analysis, quasidifferential calculus
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 1
