3 papers
math.FA2026
Perturbation Method in Musielak-Orlicz Sequence Spaces
Pando Georgiev, Vasil Zhelinski, Boyan Zlatanov
We generalize an abstract variational principle in Banach spaces, introduced by Topalova \& Zlateva, by showing that the set of perturbations for which a perturbed l…
math.FA2026
On Necessary and Sufficient Conditions for Fixed Point Convergence: A Contractive Iteration Principle
Vasil Zhelinski
While numerous extensions of Banach's fixed point theorem typically offer only sufficient conditions for the existence and uniqueness of a fixed point and the convergence of iterat…
math.DS2024
Contraction map sets with an external factor and weakly fixed points
Vasil Zhelinski
In this paper I introduce the property CD which is a more convenient variant of the UC property and show one of the possible relationships between them, I also extend the concept o…