التفاصيل البيبلوغرافية
| العنوان: |
Separation Functions and Optimality Conditions in Vector Optimization. |
| المؤلفون: |
You, Manxue1 cqdxymx@163.com, Li, Shengjie1 lisj@cqu.edu.cn |
| المصدر: |
Journal of Optimization Theory & Applications. Nov2017, Vol. 175 Issue 2, p527-544. 18p. |
| مصطلحات موضوعية: |
*MATHEMATICAL optimization, *VECTOR spaces, *LAGRANGIAN functions, *SUBDIFFERENTIALS, *NONLINEAR analysis |
| مستخلص: |
In this paper, we propose weak separation functions in the image space for general constrained vector optimization problems on strong and weak vector minimum points. Gerstewitz function is applied to construct a special class of nonlinear separation functions as well as the corresponding generalized Lagrangian functions. By virtue of such nonlinear separation functions, we derive Lagrangian-type sufficient optimality conditions in a general context. Especially for nonconvex problems, we establish Lagrangian-type necessary optimality conditions under suitable restriction conditions, and we further deduce Karush-Kuhn-Tucker necessary conditions in terms of Clarke subdifferentials. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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