Stability of a Pexider Type Functional Equation Related to Distance Measures
نویسندگان
چکیده
This work aims to study of the stability of two generalizations of the functional equation f (pr,qs)+ f (ps,qr) = f (p,q) f (r,s) , namely (i) f (pr,qs)+g(ps,qr) = h(p,q)h(r,s) , and (ii) f (pr,qs)+ g(ps,qr) = h(p,q)k(r,s) for all p,q,r,s ∈ G , where G is a commutative semigroup. Thus this work is a continuation of our earlier works [15] and [16], and the functional equations studied here arise in the characterizations of symmetrically compositive sum form distance measures. Mathematics subject classification (2010): 39B82, 39B52.
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