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 …
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 …
semi-infinite optimization, presents some numerical approaches to this type of problems …
Relative Lipschitz-like property of parametric systems via projectional coderivatives
This paper concerns upper estimates of the projectional coderivative of implicit mappings
and corresponding applications on analyzing the relative Lipschitz-like property. Under …
and corresponding applications on analyzing the relative Lipschitz-like property. Under …
On error bound moduli for locally Lipschitz and regular functions
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 …
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
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 …
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
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 …
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 …
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
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}) …
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 …
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 …
ordered image space. This dissertation is devoted to a study of such problems using …