Recent contributions to linear semi-infinite optimization: an update

MA Goberna, MA López - Annals of Operations Research, 2018 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Recent contributions to linear semi-infinite optimization

MA Goberna, MA López - 4OR, 2017 - Springer
This paper reviews the state-of-the-art in the theory of deterministic and uncertain linear
semi-infinite optimization, presents some numerical approaches to this type of problems …

Relative Lipschitz-like property of parametric systems via projectional coderivatives

W Yao, X Yang - SIAM Journal on Optimization, 2023 - SIAM
This paper concerns upper estimates of the projectional coderivative of implicit mappings
and corresponding applications on analyzing the relative Lipschitz-like property. Under …

On error bound moduli for locally Lipschitz and regular functions

MH Li, KW Meng, XQ Yang - Mathematical Programming, 2018 - Springer
In this paper we study local error bound moduli for a locally Lipschitz and regular function
via outer limiting subdifferential sets. We show that the distance from 0 to the outer limiting …

Union averaged operators with applications to proximal algorithms for min-convex functions

MN Dao, MK Tam - Journal of Optimization Theory and Applications, 2019 - Springer
In this paper, we introduce and study a class of structured set-valued operators, which we
call union averaged nonexpansive. At each point in their domain, the value of such an …

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion

KW Meng, MH Li, WF Yao, XQ Yang - Mathematical Programming, 2021 - Springer
In this paper we will establish some necessary condition and sufficient condition respectively
for a set-valued mapping to have the Lipschitz-like property relative to a closed set by …

A steepest descent method for set optimization problems with set-valued mappings of finite cardinality

G Bouza, E Quintana, C Tammer - Journal of Optimization Theory and …, 2021 - Springer
In this paper, we study a first-order solution method for a particular class of set optimization
problems where the solution concept is given by the set approach. We consider the case in …

Variational Analysis of Kurdyka-Lojasiewicz Property by Way of Outer Limiting Subgradients

M Li, K Meng, X Yang - arXiv preprint arXiv:2308.15760, 2023 - arxiv.org
In this paper, for a function $ f $ locally lower semicontinuous at a stationary point $\bar {x} $,
we obtain complete characterizations of the Kurdyka-{\L} ojasiewicz (for short, K {\L}) …

[PDF][PDF] On Set Optimization with Set Relations: A Scalarization Approach to Optimality Conditions and Algorithms

HEQ Aparicio - 2020 - opendata.uni-halle.de
This dissertation is devoted to an important branch of optimization theory known as set
optimization. Roughly speaking, this is the class of mathematical problems dealing with the …

On set optimization with set relations: a scalarization approach to optimality conditions and algorithms

E Quintana Aparicio - 2020 - repo.bibliothek.uni-halle.de
In set optimization one deals with the minimization of set-valued mappings with a partially
ordered image space. This dissertation is devoted to a study of such problems using …