Two-Level Optimization Problems with Infinite Number of Convex Lower Level Constraints

Author(s):

Nader Kanzi *

Message:
Abstract:
‎This paper proposes a new form of optimization problem which is a two-level programming problem with infinitely many lower level constraints‎. ‎Firstly‎, ‎we consider some lower level constraint qualifications (CQs) for this problem‎. ‎Then‎, ‎under these CQs‎, ‎we derive formula for estimating the subdifferential of its valued function‎. ‎Finally‎, ‎we present some necessary optimality conditions as Fritz-John type for the problem.
Keywords:

Two-level programming , Constraint qualification , Optimality conditions , Lower level problem

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:2 Issue: 2, Summer-Autumn2017
Pages:
33 to 44
https://www.magiran.com/p1978112  
سامانه نویسندگان
  • Kanzi، Nader
    Author
    Kanzi, Nader
    (1387) دکتری ریاضی، دانشگاه اصفهان
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