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20112026
most citedFixed Points for Mappings with a Contractive Iterate at Each Point

4 citations · 5 across the 10 of their papers we have counts for

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math.FA2026

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…

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

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…

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…

math.FA2015

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…

math.FA2011★ 4 cited

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.