Abstract
Let \((G,\star)\) and \((H,\circ)\) be square symmetric groupoids and \(S\subset G\) be nonempty. We present some remarks on stability of the following conditional equation of homomorphism
in the class of functions mapping S into H. In particular, we consider the situation where \(H=\mathbb{R}\) and
with some functions \(\mu,\nu:S^2\to [0,\infty)\).
Mathematics Subject Classification (2010) 39B22, 39B52, 39B82.
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Bahyrycz, A., Brzdȩk, J. (2014). Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1286-5_2
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