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math.FA2023
A Note on Brondsted's Fixed Point Theorem
Oleg Zubelevich
We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be relaxed.
math.FA2021
On Some Properties of Measurable Functions in Abstract Spaces
Evgenii Borisenko, Oleg Zubelevich
In this short note we present several infinite dimensional theorems which generalize corresponding facts from the finite dimensional differential inclusions theory.
math.FA2018
Coincidence points of Mappings in Banach Spaces
Oleg Zubelevich
In this article we prove an existence theorem for coincidence points of mappings in Banach spaces. This theorem generalizes the Kantorovich fixed point theorem.
math.FA2013
A Note on the Caristi Fixed Point Theorem
Oleg Zubelevich
We generalise the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.