Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)
Author = Nader Kanzi
Number of Articles: 5
Optimality Conditions for Properly Efficient Solutions of Nonsmooth Multiobjective GSIP
Articles in Press, Accepted Manuscript, Available Online from 02 February 2024
Abstract
This paper aims to establish first-order necessary optimality conditions for non-smooth multi-objective generalized semi-infinite programming problems. These problems involve inequality constraints whose index set depends on the decision vector, and all emerging functions are assumed ... Read MoreGuignard Qualifications and Stationary Conditions for Mathematical Programming with Nonsmooth Switching Constraints
Volume 6, Issue 2 , July 2021, , Pages 23-35
Abstract
In this paper, some constraint qualifications of the Guignard type are defined for optimization problems with continuously differentiable objective functions and locally Lipschitz switching constraints. Then, a new type of stationary condition, named ... Read MoreCharacterization of Properly Efficient Solutions for Convex Multiobjective Programming with Nondifferentiable vanishing constraints
Volume 3, Issue 2 , January 2018, , Pages 49-58
Abstract
This paper studies the convex multiobjective optimization problem with vanishing constraints. We introduce a new constraint qualification for these problems, and then a necessary optimality condition for properly efficient solutions is presented. Finally by imposing some ... Read MoreTwo-Level Optimization Problems with Infinite Number of Convex Lower Level Constraints
Volume 2, Issue 2 , December 2017, , Pages 33-44
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, ... Read MoreRegularity Conditions for Non-Differentiable Infinite Programming Problems using Michel-Penot Subdifferential
Volume 1, Issue 1 , April 2016, , Pages 21-30