• A REVIEW ON HYERS-ULAM STABILITY OF FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

SUBHASHISH BISWAS*, SUSHMA AND PRIYANKA RANI

Abstract


In this paper, we study the stability of functional equations that has originated a few decades ago. Its origin can be traced back to the problem posed by S. M. Ulam and D. H. Hyers, who laterprovided the solution to the same. In particular, during the last three decades, the notionof stability of functional equations has attracted the attention of many researchers to do work in this vast field. In this paper, we shall review an area of research on this topic.


Keywords


Ulam-Hyers stability, homomorphism, functional inequality, additive mapping, Banach space.

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