OPTIMALITY AND DUALITY FOR NONDIFFERENTIABLE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY
نویسندگان
چکیده
منابع مشابه
Sufficiency and Duality of Fractional Integral Programming with Generalized Invexity
Convexity assumptions for fractional programming of variational type are relaxed to generalized invexity. The sufficient optimality conditions are employed to construct a mixed dual programming problem. It will involve the Wolfe type dual and Mond-Weir type dual as its special situations. Several duality theorems concerning weak, strong, and strict converse duality under the framework in mixed ...
متن کاملOptimality Conditions and Duality in Nondifferentiable Minimax Fractional Programming with Generalized Convexity1
We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems involving (F, α, ρ, d)convexity. Subsequently, we apply the optimality conditions to formulate two types of dual problems and prove appropriate duality theorems.
متن کاملNondifferentiable multiobjective programming under generalized dI-invexity
In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized convex functions by combining the concepts of weak strictly pseudoinvex, strong pseudoinvex, weak quasi invex, weak pseudoinvex and strong quasi invex functions in Aghezzaf and Hachimi [Numer. Funct. Anal. Optim. 22 (2001) 775], d-...
متن کاملDuality in nondifferentiable minimax fractional programming with generalized convexity
A Mond–Weir type dual for a class of nondifferentiable minimax fractional programming problem is considered. Appropriate duality results are proved involving (F,a,q,d)-pseudoconvex functions. 2005 Elsevier Inc. All rights reserved.
متن کاملDuality in nondifferentiable minimax fractional programming with B-(p, r)-invexity
* Correspondence: drizhar@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Chungcheong Mathematical Society
سال: 2016
ISSN: 1226-3524
DOI: 10.14403/jcms.2016.29.3.465