Filters
NON-UNIFORMLY CONTINUOUS NEAREST POINT MAPS
We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any non-singleton compact and convex subset is continuous but not uniformly continuous. Th...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On a lax-algebraic characterization of closed maps
generalization of the well-known result on the coincidence of two classes of continuous maps between topological spaces: proper (maps, whose pullbacks are closed) and perfect-algebraic extension of the concept of ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Continuous extension operators and convexity
Given a nonempty closed subset A of a Hilbert space X, we denote by L(A) the space of all bounded Lipschitz mappings from A into X, equipped with the supremum norm. We show that there is a continuous mapping F(c) :...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Extension of mappings and pseudometrics
Extension of real-valued continuous maps and pseudometrics from closed subspaces is examined. A survey of known results together with methods of proofs and new relations are given....
BA - Obecná matematika
- 2010 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Continuous selections for inverse mappings in Banach spaces
of a continuous and calm selection for the inverse of a single-valued Lipschitz continuous mapping between Banach spaces with a closed domain. Then we formulate sufficient mappings and bunches of linear o...
Applied mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Selection theorems and minimal mappings in a cluster setting
The paper introduces a generalized concept of the cluster points of multi-function as a unified approach to the study of selection theorems, closed graph theorems and minimal multi-functions. The crucial notion is that of generalized lower a...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Characterization of $omega$-limit sets of continuous maps of the circle
sets from the class $Cal C(I,I)$ of continuous maps of the interval to the class $Cal C(Bbb S,Bbb S)$ of continuous maps of the circle. Among others we give of $omega $-limit sets is closed with respect t...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A remark on the local Lipschitz continuity of vector hysteresis operators.
It is known that the vector stop operator with a convex closed characteristic Z of class C1 is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping n is Li...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Banach space valued mappings of the first Baire class contained in usco mappings
We prove that any Baire--one usco--bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco--bounded sequence of continuous functions....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On extensions of D.C. functions and convex functions
We prove results on extension of D.C. functions and mappings. We prove also two results on extendability of continuous convex functions from a closed subspace of a normed linear space....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
- 1 - 10 out of 101 167