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: 4
Guignard 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