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math.CA2017★ 12 cited
A note on the paper "Contraction mappings in -metric spaces" by Czerwik
Sándor Kajántó, Andor Lukács
In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in -metric spaces.", Acta Math. Inform. Univ. Ostravien…
math.CA2017★ 5 cited
On the conditions of fixed-point theorems concerning -contractions
Sándor Kajántó, Andor Lukács
We prove a fixed-point theorem that generalises and simplifies a number of results in the theory of -contractions. We show that all of the previously imposed conditions on the o…