9 citations · 11 across the 4 of their papers we have counts for
4 papers
Fixed Points of Cone Mapping with the Application to Neural Networks
Grzegorz Gabor, Krzysztof Rykaczewski
We derive conditions for the existence of fixed points of cone mappings without assuming scalability of functions. Monotonicity and scalability are often inseparable in the literat…
Invariance and Strict Invariance for Nonlinear Evolution Problems with Applications
Aleksander Ćwiszewski, Grzegorz Gabor, Wojciech Kryszewski
Sufficient conditions for the invariance of evolution problems governed by perturbations of (possibly nonlinear) -accretive operators are provided. The conditions for the invari…
Multiple solutions of the Dirichlet problem in multidimensional billiard spaces
Grzegorz Gabor, Jan Tomeček
Dirichlet problem in an -dimensional billiard space is investigated. In particular, the system of ODEs together with Dirichlet boundary conditions $x(0)…
On the Dirichlet problem in billiard spaces
Grzegorz Gabor
The constrained Dirichlet boundary value problem , , is studied in billiard spaces, where impacts occur in boundary points. Therefore we develop the rese…