کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641558 1341312 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions
چکیده انگلیسی

In this paper, new classes of nondifferentiable functions constituting multiobjective programming problems are introduced. Namely, the classes of dd-rr-type I objective and constraint functions and, moreover, the various classes of generalized dd-rr-type I objective and constraint functions are defined for directionally differentiable multiobjective programming problems. Sufficient optimality conditions and various Mond–Weir duality results are proved for nondifferentiable multiobjective programming problems involving functions of such type. Finally, it is showed that the introduced dd-rr-type I notion with r≠0r≠0 is not a sufficient condition for Wolfe weak duality to hold. These results are illustrated in the paper by suitable examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 1, 1 March 2009, Pages 236–250
نویسندگان
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