کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633990 1340683 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Differentiable non-convex functions and general variational inequalities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Differentiable non-convex functions and general variational inequalities
چکیده انگلیسی

In this paper, we introduce a new class of non-convex functions, which is called the g-convex functions. We prove that the minimum of the differentiable non-convex functions on the non-convex sets can be characterized by a class of variational inequalities, which is called the general variational inequality. Essentially using the projection technique, we establish the equivalence between the general variational inequalities and the fixed-point problems as well as with the Wiener–Hopf equations. This equivalent formulation is used to suggest and analyze some iterative algorithms for solving the general variational inequalities. We also discuss the convergence analysis of these iterative methods. Several special cases are also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 623–630
نویسندگان
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