Optimality conditions and duality in multiobjective programming with invexity
نویسندگان
چکیده
منابع مشابه
Optimality Conditions and Duality in Multiobjective Programming with Invexity*
( , ) ρ Φ − invexity has recently been introduced with the intent of generalizing invex functions in mathematical programming. Using such conditions we obtain new sufficiency results for optimality in multiobjective programming and extend some classical duality properties.
متن کاملGeneralized Invexity and Duality in Multiobjective Programming Problems
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.
متن کاملMultiobjective Mixed Symmetric Duality with Invexity
The usual duality results are established for mixed symmetric multiobjective dual programs without nonnegativity constraints using the notion of invexity/ generalized invexity which has allowed weakening various types of convexity/ generalized convexity assumptions. This mixed symmetric dual formulation unifies two existing symmetric dual formulations in the literature.
متن کاملNew optimality conditions for multiobjective fuzzy programming problems
In this paper we study fuzzy multiobjective optimization problems defined for $n$ variables. Based on a new $p$-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.
متن کاملSemi-infinite Multiobjective Programming with Generalized Invexity
Motivated by important applications, the theory of mathematical programming has been extended to the case of infinitely many restrictions. At the same time, this theory knew remarcable developments since invexity and its further generalizations have been introduced as substitute of convexity. Here, we consider the multiobjective programming with a set of restrictions indexed in a compact. We ob...
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: YUJOR
سال: 2008
ISSN: 0354-0243,1820-743X
DOI: 10.2298/yjor0802153f