4 citations · 5 across the 10 of their papers we have counts for
12 papers
Data Portability Revisited: Toward the Human-Centric, AI-Driven Data Ecosystems of Tomorrow
Mark Fenwick, Michael Fertik, Paulius Jurcys +1
This Article critically examines the contemporary regulatory framework and discourse surrounding data portability in the United States. Using recent regulatory developments in the…
Context-Free Fixed Points and Complete Classification of Orbits in Picard Iteration for Guarded Power Language Operators
Atanas Ilchev, Hristo Kiskinov, George Pashev +1
We study the language-theoretic structure of fixed points and finite Picard iterates for guarded q-power language operators. For the general operator, we prove that a context-free…
Banach Spaces Generated by Finite-Valued Functions: Superreflexive Rigidity, Hankel Operators, and Universality
Miroslav Hristov, Atanas Ilchev, Diana Nedelcheva +1
We investigate Banach spaces generated by uniformly bounded families of functions taking values in a fixed finite set and establish a rigidity principle connecting the cardinality…
Ultrametric Convergence of Guarded Automata and Applications to Structural Input Validation
Atanas Ilchev, Hristo Kiskinov, George Pashev +1
We equip language-equivalence classes of deterministic finite automata with a distinguishing-word ultrametric and identify the resulting space isometrically with the regular langua…
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…
Equilibrium in the Canonical Stackelberg Triopoly via Response Functions and Fixed Point Theory
Anton Badev, Martin Pavlov, Boyan Zlatanov
We analyze a canonical extension of the Stackelberg duopoly to a sequential framework, where each firm strategically anticipates the reactions of all subsequent players. In a triop…
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…
Coupled Fixed Points for Hardy-Rogers Type of Maps and Their Applications in the Investigations of Market Equilibrium in Duopoly Markets for Non-Differentiable, Nonlinear Response Functions
S. Kabaivanov, V. Zhelinski, B. Zlatanov
In this paper we generalize Hardy-Rogers maps in the context of coupled fixed points. We generalizes with the help of the obtained main theorem some known results about existence a…
Application of Coupled Fixed (or Best Proximity) Points in Market Equilibrium in Oligopoly Markets
Yulia Dzhabarova, Stanimir Kabaivanov, Margarita Ruseva +1
We present a possible kind of generalization of the notion of ordered pairs of cyclic maps and coupled fixed points and its application in modelling of equilibrium in oligopoly mar…
Error Estimates for Approximating Best Proximity Points for Cyclic Contractive Maps
Boyan Zlatanov
We find a priori and a posteriori error estimates of the best proximity point for the Picard iteration associated to a cyclic contraction map, which is defined on a uniformly conve…
An Etude on One Sharygin's Problem
Boyan Zlatanov
By the methods of the synthetic geometry we investigate properties of objects generated from a complete quadrangle and a line, which lies in its plane. We start with a problem from…
Fixed Points for Mappings with a Contractive Iterate at Each Point
Samet Karaibryamov, Boyan Zlatanov
We generalize the results of Sehgal and Guseman for mappings on a complete metric space with a contractive iterate condition at each point.