Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints

Author(s):

Hadis Mokhtavayi * , Aghileh Heidari , Nader Kanzi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We consider a nonsmooth optimization problem with a feasible set defined by vanishing constraints. First, we introduce a constraint qualification for the problem, named NNAMCQ. Then, NNAMCQ is applied to obtain a necessary M-stationary condition. Finally, we present a sufficient condition for M-stationarity, under generalized convexity assumption. Our results are formulated in terms of Mordukhovich subdifferential.

Keywords:

Stationary conditions , Vanishing constraints , Nonsmooth optimization , Constraint qualification

Language:
English
Published:
Computational Methods for Differential Equations, Volume:9 Issue: 2, Spring 2021
Pages:
347 to 357
https://www.magiran.com/p2268501  
سامانه نویسندگان
  • Author (3)
    Nader Kanzi
    (1387) دکتری ریاضی، دانشگاه اصفهان
    Kanzi، Nader
اطلاعات نویسنده(گان) توسط ایشان ثبت و تکمیل شده‌است. برای مشاهده مشخصات و فهرست همه مطالب، صفحه رزومه را ببینید.
مقالات دیگری از این نویسنده (گان)