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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.FA2023
On the UC and UC* properties and the existence of best proximity points in metric spaces
Vasil Zhelinski, Boyan Zlatanov
We investigate the connections between UC and UC* properties for ordered pairs of subsets (A,B) in metric spaces, which are involved in the study of existence and uniqueness of bes…