[HTML][HTML] Recent advances in nonconvex semi-infinite programming: Applications and algorithms

H Djelassi, A Mitsos, O Stein - EURO Journal on Computational …, 2021 - Elsevier
The goal of this literature review is to give an update on the recent developments for semi-
infinite programs (SIPs), approximately over the last 20 years. An overview of the different …

Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity

BB Upadhyay, A Ghosh, P Mishra… - RAIRO-Operations …, 2022 - rairo-ro.org
This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …

Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Bulletin of the Iranian Mathematical …, 2023 - Springer
In this article, we study a class of nonsmooth multiobjective semi-infinite programming
problems defined on Hadamard manifolds [in short,(NMSIP)]. We present Abadie constraint …

Karush–Kuhn–Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints

LT Tung - Annals of Operations Research, 2022 - Springer
This paper concentrates on studying multiobjective semi-infinite programming with
vanishing constraints. Firstly, the necessary and sufficient Karush–Kuhn–Tucker optimality …

Efficiency conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Journal of Global Optimization, 2024 - Springer
This paper is devoted to the study of a class of multiobjective semi-infinite programming
problems on Hadamard manifolds (in short,(MOSIP-HM)). We derive some alternative …

Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty

X Sun, KL Teo, J Zeng, L Liu - Optimization, 2020 - Taylor & Francis
In this paper, we deal with robust approximate quasi optimal solutions for a class of
nonlinear semi-infinite programming with data uncertainty (USIP) in both the objective and …

[图书][B] Fundamentals of convex analysis and optimization

R Correa, A Hantoute, MA López - 2023 - Springer
This book provides a novel approach to convex analysis and convex optimization, based on
subdifferential calculus of pointwise suprema of convex functions. The main goal in writing …

Near-optimal solutions of convex semi-infinite programs via targeted sampling

S Das, A Aravind, A Cherukuri, D Chatterjee - Annals of Operations …, 2022 - Springer
We propose an approach to find the optimal value of a convex semi-infinite program (SIP)
that involves identifying a finite set of relevant constraints by solving a finite-dimensional …

[HTML][HTML] The radius of robust feasibility of uncertain mathematical programs: A Survey and recent developments

MA Goberna, V Jeyakumar, G Li… - European Journal of …, 2022 - Elsevier
The radius of robust feasibility provides a numerical value for the largest possible
uncertainty set that guarantees feasibility of a robust counterpart of a mathematical program …

Even convexity and optimization

MD Fajardo, MA Goberna, MML Rodrıguez… - Cham: Springer, 2020 - Springer
This is the first book devoted to linear systems of the form: σ={〈 at, x〉≤ bt, t∈ W;〈 at, x〉<
bt, t∈ S}, where〈·,·〉 denotes the standard inner product in Rn, W and S are arbitrary …