Optimality and duality for nonsmooth semi-infinite E-convex multi-objective programming with support functions
نویسندگان
چکیده
منابع مشابه
On Sequential Optimality Conditions without Constraint Qualifications for Nonlinear Programming with Nonsmooth Convex Objective Functions
Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Here, nonsmooth approximate gradient projection and complementary approximate Karush-Kuhn-Tucker conditions are presented. These sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constrai...
متن کاملOn Sequential Optimality Conditions without Constraint Qualifications for Nonlinear Programming with Nonsmooth Convex Objective Functions
Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Here, nonsmooth approximate gradient projection and complementary approximate Karush-Kuhn-Tucker conditions are presented. These sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constrai...
متن کاملOptimality and Duality for Minimax Fractional Semi-Infinite Programming
The purpose of this paper is to consider a class of nonsmooth minimax fractional semi-infinite programming problem. Based on the concept of H − tangent derivative, a new generalization of convexity, namely generalized uniform ( , ) H B ρ − invexity, is defined for this problem. For such semi-infinite programming problem, several sufficient optimality conditions are established and proved by uti...
متن کاملNecessary Optimality and Duality for Multiobjective Semi-infinite Programming
The aim of this paper is to deal with a class of multiobjective semi-infinite programming problem. For such problem, several necessary optimality conditions are established and proved using the powerful tool of K − subdifferential and the generalized convexity namely generalized uniform ( , , , ) K F d α ρ − − convexity. We also formulate the Wolf type dual models for the semi-infinite programm...
متن کاملOptimality and Duality for an Efficient Solution of Multiobjective Nonlinear Fractional Programming Problem Involving Semilocally Convex Functions
In this paper, the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related functions. We have discussed the interrelation between the solution sets involving properly efficient solutions of multiobjective fractional programming and corresponding scalar fractional programming problem. Necessary and sufficient optimality...
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: International Journal for Simulation and Multidisciplinary Design Optimization
سال: 2020
ISSN: 1779-6288
DOI: 10.1051/smdo/2020011