Hyers-ulam stability of function equation
The stability problem of functional equations originated from a question of Stanisław Ulam, posed in 1940, concerning the stability of group homomorphisms. In the next year, Donald H. Hyers gave a partial affirmative answer to the question of Ulam in the context of Banach spaces in the case of additive mappings, that was the first significant breakthrough and a step toward more solutions in this area. Since then, a large number of papers have been published in connection with various … WebIn this work, we studied the Ulam–Hyers stability results of the generalized additive functional Equation in Banach spaces and non-Archimedean Banach spaces by using different approaches of direct and fixed point methods.In future works, the researcher …
Hyers-ulam stability of function equation
Did you know?
http://library.aum.edu.jo/cgi-bin/koha/opac-detail.pl?biblionumber=23305&shelfbrowse_itemnumber=29788 Web25 nov. 2024 · Using the fixed point method, we prove the Hyers–Ulam stability of the functional equation Df (x, y) = 0 in matrix Banach algebras: an even case. Theorem 2.1 …
WebThe object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation in IFNS. WebSuch equations can be useful in modeling of hybrid dynamic systems, where the phenomena are subjected to two kinds of uncertainties: randomness and fuzziness, simultaneously. Under a boundedness condition, which is weaker than linear growth condition, and the Lipschitz condition we obtain existence and uniqueness of solution to …
WebThe different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new … Web1 mrt. 2024 · In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the …
WebThe basic problem of the stability of functional equations was proposed by S. Ulam in 1940 in the following form. Suppose that a function fsatis es the so called Cauchy (or …
Webaxioms Article Generalized Hyers–Ulam Stability of the Additive Functional Equation Yang-Hi Lee 1 and Gwang Hui Kim 2,* 1 Department of Mathematics Education, Gongju … ganglion cyst wrist photosWebKey words: Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Fredholm integral equation of second kind, fixed point theorem. 1. Introduction The Ulam stability … ganglion cyst wrist natural remedyWeb20 mrt. 2024 · We prove the mild solutions for the equation using basic theorems of fractional differential equation. The existence result of the equation is obtained by … ganglion cyst wrist natural treatmentWeb2 dagen geleden · The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with … ganglion cyst wrist surgery anesthesiaWeb20 mrt. 2024 · Fixed point methods for the generalized stability of functional equations in a single variable. Fixed Point Theory Appl. 2008 (2008), Article ID 749392. ... black lamp for nightstandhttp://www.ijapm.org/vol10/442-C2076.pdf ganglion cyst wrist volarWeb27 dec. 2024 · Abstract. The Hyers-Ulam stability of the iterative equation f^n=F for continuous functions F was studied under the assumptions that F is a homeomorphism … black lamp post lights outdoor