Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems
نویسندگان
چکیده
منابع مشابه
Symmetric 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.
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متن کاملA Note on Nondifferentiable Symmetric Duality
Under suitable hypotheses on the function / , the two constrained minimization problems: MIN/ fyy subject to x > 0, -fy > 0; MAX/ fxx subject to y > 0, fx > 0; are well known each to be dual to the other. This symmetric duality result is now extended to a class of nonsmooth problems, assuming some convexity hypotheses. The first problem is generalized to: MINf(x,y) py subject to x e T,-p e S* n...
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Correspondence: gaoyingimu@163. com Department of Mathematics, Chongqing Normal University, Chongqing 400047, China Abstract In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order (F, a, r, d)-convexity, which extends some kinds of generalized convexity, such as second or...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.11.054