Generalized Hyers-Ulam stability of ?-functional inequalities

Abstract

In our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: parallel to f(2x + y) + f(2x - y) - 2f(x + y) - 2f(x - y) - 12f(x) - rho(4f(x + y/2) + 4(f(x - y/2) - f (x + y) - f (x - y) -6f(x), r)parallel to >= r/r + phi(x, y) (0.1) and parallel to f(2x + y) + f(2x - y) - 4f(x + y) - 4f(x - y) - 6f(y) - rho(8f(x + y/2) + 8(f(x - y/2) - 2f(x + y) - 2f (x - y) - 12f(x) + 3f(y), r)parallel to >= r/r + phi(x, y) (0.2) in the setting of fuzzy matrix, where. rho not equal 2 is a real number. We also discussed Hyers-Ulam stability from the application point of view.