5 papers
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…
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…
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…
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…