Approximate multi-Jensen-cubic mappings and a fixed point theorem

Elahe Ramzanpour, Abasalt Bodaghi

Abstract


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.

Keywords


Banach space; multi-Jensen-cubic functional equation; Hyers-Ulam stability

Mathematics Subject Classification (2010)


39B52; 39B72; 39B82; 46B03

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