Generalized Invexity and Duality in Multiobjective Programming Problems
نویسندگان
چکیده
In this paper we consider a multiobjective optimization problem, and we prove Mond-Weir duality results under second-and higher-order conditions of the objective and constraint functions.
منابع مشابه
Nonsmooth Multiobjective Fractional Programming with Generalized Invexity
In this paper, we consider nonsmooth multiobjective fractional programming problems involving locally Lipschitz functions. We introduce the property of generalized invexity for fractional function. We present necessary optimality conditions, sufficient optimality conditions and duality relations for nonsmooth multiobjective fractional programming problems, which is for a weakly efficient soluti...
متن کاملDuality for the class of a multiobjective problem with support functions under $K$-$G_f$-invexity assumptions
In this article, we formulate two dual models Wolfe and Mond-Weir related to symmetric nondifferentiable multiobjective programming problems. Furthermore, weak, strong and converse duality results are established under $K$-$G_f$-invexity assumptions. Nontrivial examples have also been depicted to illustrate the theorems obtained in the paper. Results established in this paper unify...
متن کاملMultiobjective Variational Programming under Generalized Vector Variational Type I Invexity
Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.
متن کاملSymmetric duality for multiobjective fractional variational problems with generalized invexity
The concept of symmetric duality for multiobjective fractional problems has been extended to the class of multiobjective variational problems. Weak, strong and converse duality theorems are proved under generalized invexity assumptions. A close relationship between these problems and multiobjective fractional symmetric dual problems is also presented. 2005 Elsevier Inc. All rights reserved.
متن کاملNonsmooth Continuous-Time Multiobjective Optimization Problems with Invexity
A few Karush-Kuhn-Tucker type of sufficient optimality conditions are given in this paper for nonsmooth continuous-time nonlinear multi-objective optimization problems in the Banach space L∞ [0, T ] of all n-dimensional vector-valued Lebesgue measurable functions which are essentially bounded, using Clarke regularity and generalized convexity. Further, we establish duality theorems for Wolfe an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Global Optimization
دوره 18 شماره
صفحات -
تاریخ انتشار 2000