کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840959 908497 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized V–rV–r-invex functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized V–rV–r-invex functions
چکیده انگلیسی

In this paper, a class of nonsmooth multiobjective programming problems with inequality constraints is considered. We introduce the concepts of V–rV–r-pseudo-invex, strictly V–rV–r-pseudo-invex and V–rV–r-quasi-invex functions, in which the involved functions are locally Lipschitz. Based upon these generalized V–rV–r-invex functions, sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution are derived. Appropriate duality theorems are proved for a Mond–Weir-type dual program of a nonsmooth multiobjective programming under the aforesaid functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 5920–5928
نویسندگان
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