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 = Constraint qualification
Number of Articles: 4
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 MoreAbadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems
Volume 9, Issue 2 , December 2024, , Pages 173-186
Abstract
This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker for both weakly efficient solutions and efficient solutions of a nonsmooth multi-objective semi-infinite programming problem characterized by locally Lipschitz ... Read MoreA New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems
Volume 8, Issue 2 , December 2023, , Pages 49-61
Abstract
This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints. Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and sufficient conditions for (weakly, properly) ... Read MoreA General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming
Volume 3, Issue 2 , January 2018, , Pages 13-26