1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.FA2025
On Strongly Convex Sets and Farthest Distance Functions
Juan Enrique Martínez-Legaz
A polarity notion for sets in a Banach space is introduced in such a way that the second polar of a set coincides with the smallest strongly convex set with respect to R that conta…
math.FA2025
A Note on Carlier Inequality
Regina S. Burachik, J. E. Martínez-Legaz
Recently, Carlier established in [3] a quantitave version of the Fitzpatrick inequality in a Hilbert space. We extend this result by Carlier to the framework of reflexive Banach sp…
math.OC2019★ 1 cited
Co-radiant set-valued mappings
Abelardo Jordán, Juan Enrique Martínez-Legaz
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.…