Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods


B V Senthil Kumar, Hemen Dutta




This study is aimed to determine various stabilities of a generalized reciprocal-quadratic functional equation of the form r  p∑ j=1 β ju j  = ∏p j=1 r ( u j ) [∑p j=1 β j ∏p k=1,k, j √ r (uk) ]2 connected with Ulam, Hyers, T. M. Rassias, J. M. Rassias and Gavruta in non-Archimedean fields, where β j , 0; j = 1, 2, . . . , p are arbitrary real numbers and 0 < β1+β2+· · ·+βp = ∑pj=1 β j = β , 1 in non-Archimedean fields by direct and fixed point methods