DOI: 10.24193/fpt-ro.2023.2.01

Authors: M. Almahalebi, S. AL-Ali, M.E. Hryrou and Y. Elkettani

Abstract:

In this paper, we prove a general fixed point theorem for ultrametric n-Banach spaces. We also show its applications in proving the hyperstability, in the sense of Găvruță, of the following monomial functional equation

where and k, s ∈ ℕ such that s ≥ k.

Key Words and Phrases: Fixed point theorem, functional equations, ultrametric n-Banach space, stability, hyperstability.

2010 Mathematics Subject Classification: 39B52, 54E50, 47H10, 39B82.

Published on-line: June 15th, 2023.

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