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

Abstract

This study is aimed to determine various stabilities of a generalized reciprocal-quadratic functional equation of the form r (?pj=1 ?juj) = ?pj=1 r (uj) [?pj=1 ?j ?pk=1,k?j ?r(uk)] 2 connected with Ulam, Hyers, T. M. Rassias, J. M. Rassias and Gavruta in non-Archimedean fields, where ?j?0; j = 1,2,..., p are arbitrary real numbers and 0 < ?1+?2+...+?p = ?pj=1 ?j=??1 in non-Archimedean fields by direct and fixed point methods.