E-invexity and generalized E-invexity in E-differentiable multiobjective programming
نویسندگان
چکیده
منابع مشابه
Nondifferentiable 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 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 کاملNonsmooth 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 کاملTHE NOTION OF V -r-INVEXITY IN DIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING
In this paper, a generalization of convexity, namely V -rinvexity, is considered in the case of nonlinear multiobjective programming problems where the functions involved are differentiable. The assumptions on Pareto solutions are relaxed by means of V -r-invex functions. Also some duality results are obtained for such optimization problems.
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 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: ITM Web of Conferences
سال: 2019
ISSN: 2271-2097
DOI: 10.1051/itmconf/20192401002