The superstability of a variant of Wilson’s functional equation on an arbitrary group

Superstability problem for a large class of functional equations

“…This gives a simultaneous extension of the results in [3,[6][7][8]10,18,22,[26][27][28][29][30][31][32][33][34][35]. Therefore, our approach provide a unified treatment of the superstability of Cauchy's, d'Alembert's, Wilson's, spherical type functional equations and others.…”

“…Different generalizations of the result of Baker, Lawrence and Zorzitto was given by Badora and Ger [3,4], Székelyhidi [26,27] and Gàvruta [13]. For other superstability results, we can see for example [8,9,12,15,17,18,21,22,[30][31][32][33][34][35].…”

“…The interested reader should refer to [3,4,[6][7][8][9][10][12][13][14][15][16][17][18][19][20][21][22][26][27][28][29][30][31][32][33][34][35] for a thorough account on the subject of stability of functional equations.…”

A Variant of Jensen’s Functional Equation on Semigroups

“…where M is a monoid (that is a semigroup with identity), for unknown functions [2,3,4,14,16,17,18] have been an inspiration in their treatment of similar functional equations on groups and semigroups.…”

On a Composite Functional Equation Related to the Golab-Schinzel Equation

“…The first results of that kind have been studied in [3] for the exponential equation, in [2] for the cosine equation on an abelian group and in [30,31,32,33,34] for trigonmetric functional equations on any group. For further information regarding superstability of functional equations we refer to [24].…”