ORTHOGONAL STABILITY OF GENERALIZED CUBE ROOT FUNCTIONAL INEQUALITY IN THREE VARIABLES: A FIXED POINT APPROACH

This paper underlined the aspects of stability of orthogonal generalized cube root functional (GCRF) inequality parallel to C (al + bm + cn + 3(al)(2/3) (bm)(1/3) + (cn)(1/3) + 3(bm)(2/3) (al)(1/3) + (cn)(1/3) + 3(cn)(2/3) (bm)(1/3) + (al)(1/3) + 6(abclmn)(1/3)) - a(1/3)C(l) - b(1/3)C(m)parallel to <=parallel to c(1/3)C(n)parallel to for all l, m, n is an element of S with l perpendicular to m, m perpendicular to n and n perpendicular to l using fixed point approach where C : S -> Z is a mapping from an orthogonal space (S, perpendicular to) into a real Banach space, perpendicular to represents the orthogonality relation and a, b, c are real numbers with a not equal 0, b not equal 0, c not equal 0. Using these results, we present the stability of GCRF inequality in two variables also.