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of 270
pro vyhledávání: '"LEGAZ, JUAN"'
The paper is devoted to establishing relationships between global and local monotonicity, as well as their maximality versions, for single-valued and set-valued mappings between finite-dimensional and infinite-dimensional spaces. We first show that f
Externí odkaz:
http://arxiv.org/abs/2403.20227
The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined and characterized. On the other hand, the Motzkin decomposable sets, along with their epigraphic versions are considered and characterized in new ways. Among the
Externí odkaz:
http://arxiv.org/abs/2301.09504
Autor:
Martínez-Legaz, Juan Enrique
Fenchel subdifferential operators of lower semicontinuous proper convex functions on real Banach spaces are classically characterized as those operators that are maximally cyclically monotone or, equivalently, maximally monotone and cyclically monoto
Externí odkaz:
http://arxiv.org/abs/2212.02596
We introduce and study a notion of co-radiantness for set-valued mappings between nonnegative orthants of Euclidean spaces. We analyze them from an abstract convexity perspective. Our main results consist in representations, in terms of intersections
Externí odkaz:
http://arxiv.org/abs/1902.10772
The classic Voronoi cells can be generalized to a higher-order version by considering the cells of points for which a given $k$-element subset of the set of sites consists of the $k$ closest sites. We study the structure of the $k$-order Voronoi cell
Externí odkaz:
http://arxiv.org/abs/1811.10257
Akademický článek
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We introduce a subfamily of additive enlargements of a maximally monotone operator. Our definition is inspired by the early work of Simon Fitzpatrick. These enlargements constitute a subfamily of the family of enlargements introduced by Svaiter. When
Externí odkaz:
http://arxiv.org/abs/1507.08251
Publikováno v:
Journal of Nonlinear & Variational Analysis; 2024, Vol. 8 Issue 4, p571-579, 9p
Akademický článek
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Autor:
Dutta, Joydeep1 (AUTHOR), Martínez-Legaz, Juan Enrique2,3 (AUTHOR) JuanEnrique.Martinez.Legaz@uab.cat
Publikováno v:
Mathematical Programming. Sep2021, Vol. 189 Issue 1/2, p299-314. 16p.