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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.CA2023
New fixed point theorem and its application to ODE
Oleg Zubelevich
We prove a fixed point theorem that combines the contraction mapping principle and some Knaster-Tarski-like theorem. As a consequence we obtain an existence theorem to initial valu…