Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones-Reference-Cited by-同舟云学术

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Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones

Published:2017-02-07 Issue:3 Volume:172 Page:802-823
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Zhou Jinchuan,Tang Jingyong,Chen Jein-Shan^ORCID

Funder

National Natural Science Foundation of China

Shandong Province Natural Science Foundation

Basic and Frontier Technology Research Project of Henan Province

Ministry of Science and Technology, Taiwan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10957-016-0935-9.pdf

Reference19 articles.

1. Ben-Tal, A., Zowe, J.: Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Math. Program. 24, 70–91 (1982)

2. Ben-Tal, A., Zowe, J.: Directional derivatives in nonsmooth optimization. J. Optim. Theory Appl. 47, 483–490 (1985)

3. Ward, D.E.: Calculus for parabolic second-order derivatives. Set Valued Anal. 1, 213–246 (1993)

4. Gutierrez, C., Jimenez, B., Novo, V.: New second-order directional derivative and optimality conditions in scalar and vector optimization. J. Optim. Theory Appl. 142, 85–106 (2009)

5. Yang, X.Q., Jeyakumar, V.: Generalized second-order directional derivatives and optimality conditions with $$C^{1,1}$$ C 1 , 1 functions. Optimization 26, 165–185 (1992)

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