Volume 11 (2026)
Volume 10 (2025)
Volume 9 (2024)
Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)
Keywords = Optimality conditions
Number of Articles: 6
On Constraint Qualifications and Optimality Conditions in Nonsmooth Semi-infinite Optimization
Volume 9, Issue 2 , December 2024, , Pages 53-66
Abstract
The primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs). We focus on defining novel algebraic Mangasarian-Fromovitz type constraint qualifications, and on presenting ... Read MoreMordukhovich Normal Cone of Optimization Problems with Switching Constraints
Volume 9, Issue 2 , December 2024, , Pages 85-96
Abstract
This paper examines normal cones of the feasible set for mathematical programming problems with switching constraints (MPSC). Functions involved are assumed to be continuously differentiable. The primary focus is on providing the upper estimate of the Mordukhovich normal cone for ... 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 MoreTopological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data
Volume 5, Issue 2 , July 2020, , Pages 83-91
Abstract
In this paper, we study nonsmooth optimization problems with quasiconvex functions using topological subdifferential. We present some necessary and sufficient optimality conditions and characterize topological pseudoconvex functions. Finally, the Mond-Weir type ... Read MoreNecessary Optimality Conditions for Non-smooth Continuous-Time Problems Using Convexificators
Volume 5, Issue 1 , January 2020, , Pages 1-13
Abstract
In this paper, we develop general necessary optimality conditions of the KKT types for non-smooth continuous-time optimization problems with inequality constraints. The primary instrument in our study is the concept of a convexificator. Based on this concept, non-smooth ... Read MoreA General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming
Volume 3, Issue 2 , January 2018, , Pages 13-26