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Generalized Hyers-Ulam stability of ?-functional inequalities
(Springer, 2023) Nawaz, Sundas; Bariq, Abdul; Batool, Afshan; Akgul, Ali
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.
Stability of functional inequality in digital metric space
(Springer, 2024) Nawaz, Sundas; Hassani, Murad Khan; Batool, Afshan; Akgul, Ali
In the present article, the Hyers-Ulam stability of the following inequality is analyzed: {d(f(i+j), (f(i)+ f(j)))<= d(rho(1)((f(i+j)+f(i-j), 2f(i))) + d(rho 2(2f(i+j2), (f(i)+f(j)))) (0.1) in the setting of digital metric space, where rho(1) and rho(2) are fixed nonzero complex numbers with 1>root 2|rho(1)|+|rho(2)| by using fixed point and direct approach.