Approximate multi-Jensen-cubic mappings and a fixed point theorem
Keywords:
Banach space, multi-Jensen-cubic functional equation, Hyers-Ulam stabilityAbstract
In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.
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