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ON THE STABILITY OF METRIC SEMIGROUP HOMOMORPHISMS
- Authors
- Rezaei, Hamid; Jung, Soon-Mo
- Issue Date
- Sep-2015
- Publisher
- ELEMENT
- Keywords
- Functional equation; Hyers-Ulam-stability; metric semigroup homomorphism; fixed point
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.9, no.3, pp.935 - 946
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 9
- Number
- 3
- Start Page
- 935
- End Page
- 946
- ISSN
- 1846-579X
- Abstract
- In this paper, we investigate the stability of the homomorphism equation f(x circle(1) y) = f(x) circle(2) f(y) between semigroups (G(1), circle(1)) and (G(2), circle(2)), where the binary operation circle(i) is square-symmetric on the set G(i) for i = 1,2. Our results generalize the classical theorem of Hyers concerning the stability of the Cauchy additive equation.
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