20 citations · 63 across the 7 of their papers we have counts for
7 papers
Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited
Marián Fabian, Alexander Y. Kruger, Patrick Mehlitz
We revisit the decoupling approach widely used (often intuitively) in nonlinear analysis and optimization and initially formalized about a quarter of a century ago by Borwein & Zhu…
A general scheme for separably reducible properties
M. Fabian, A. Ioffe, J. P. Revalski
We propose a general scheme for studying separably reducible properties in metric spaces and then apply it to obtain separable determinacy of Lipschitz property and the separable d…
On semiregularity of mappings
R. Cibulka, M. Fabian, A. Y. Kruger
There are two basic ways of weakening the definition of the well-known metric regularity property by fixing one of the points involved in the definition. The first resulting proper…
Rich families and projectional skeletons in Asplund WCG spaces
Marek Cuth, Marian Fabian
We show a way of constructing projectional skeletons using the concept of rich families in Banach spaces which admit a projectional generator. Our next result is that a Banach spac…
Separable reduction of Frechet subdifferentiability in Asplund spaces
Marek Cuth, Marian Fabian
In the framework of Asplund spaces, we use two equivalent instruments - rich families and suitable models from logic - for performing separable reductions of various statements on…
Projections in duals to Asplund spaces made without Simons' lemma
Marek Cuth, Marian Fabian
G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity. A few years later, Ch.…
Locally Lipschitz Functions and Bornological Derivatives
Jonathan M. Borwein, Marian Fabian, J. Vanderwerff
We study the relationships between Gateaux, weak Hadamard and Frechet differentiability and their bornologies for Lipschitz and for convex functions. In particular, Frechet and wea…