Abstract
The present work continues the study of the stability of the functional equations of the type $f(pr, qs) + f(ps, qr) = f(p,q)\, f(r, s)$ namely (i) $f(pr, qs) + f(ps, qr) = g(p,q)\, g(r, s)$, and (ii) $f(pr, qs) + f(ps, qr) = g(p,q)\, h(r, s)$ for all $p, q, r, s \in G$, where $G$ is an abelian group. These functional equations arise in the characterization of symmetrically compositive sumform distance measures.
Citation
Gwang Hui Kim. Prasanna K. Sahoo. "Stability of a functional equation related to distance measures - II." Ann. Funct. Anal. 1 (1) 26 - 35, 2010. https://doi.org/10.15352/afa/1399900989
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