[PDF] Top 20 Fixed points, stability, and harmless perturbations

... We have spoken in terms of stability. But each of our theorems claim that solutions are bounded and, with an additional assumption, that these solutions tend to zero. It is a simple, but lengthy, exercise to show ... See full document

... asymptotic stability of the zero solution by using the fixed point method and the differential inequality techniques which not only includes the results on sufficient part in [17-19], but also includes ... See full document

... their fixed points, known as the stability (or continuity) of fixed points, has been widely studied in fixed point theory in various set- tings ... See full document

... infra-red stability of the fixed points in the evolution of the Yukawa couplings, A-parameters and soft scalar masses in a broad class of supersymmetric ...of stability is essentially ... See full document

... Hyers 1, 1941 has given an affirmative answer to a question of Ulam by proving the stability of additive Cauchy equations in Banach spaces. Then Aoki, Bourgin, Rassias, Forti and Gajda considered the ... See full document

... If the problem admits a solution, we say that the equation E is stable. Such a problem was formulated by Ulam [] in  and solved in the next year for the Cauchy functional equation by Hyers []. Since Hyers, many ... See full document

... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ... See full document

... asymptotic stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point ...square stability theorem with a necessary and sufficient condition ... See full document

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ...The stability problems of several ... See full document

... In addition, J. M. Rassias 19 generalized the Euler-Lagrange quadratic mapping 1.12 and investigated its stability problem. The Euler-Lagrange quadratic mapping 1.12 has provided a lot of influence in the ... See full document

... fixed points is better than the ...the stability of these algorithms? Is a complete labeled sub- simplex able to resist the perturbation of functions or simplices? This paper will focus on these ... See full document

... We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the ... See full document

... stable fixed point. A new approach is proposed to determine the stability of the fixed points in which the eigenvalues of the Jacobian matrix of the chaotic system at different values of the ... See full document

... In recent years, boundary value problems of nonlinear fractional differential equations with a variety of boundary conditions have been investigated by many researchers. Frac- tional differential equations appear ... See full document

... and stability results for fixed point equations and inclusions in generalized metric spaces in the sense of ...and stability results for the a coupled fixed point problem for singlevalued operators proved in ... See full document

... of stability theory of functional equations for the proof of new fixed point theorems with ...the fixed point method, the stability problems of several functional equations have been ... See full document

... the fixed point ...the fixed points of such mappings with ...common fixed points of a class of polynomial ...of fixed points, then the polynomial and its n th composition ... See full document

... (2.15) which is a contradiction. Thus ssw = sw, that is, sw is a fixed point of s. Therefore, the set M of fixed points of s is not empty. Now s is continuous, so M is closed. Since M ⊆ A and A is compact, M is ... See full document

... Conjecture 1.1 and raised the possibility of using a Baire-category argument to settle the problem. It is also not difficult to show that commuting continuous self-maps of the intervals must have common recurrent ... See full document

... Hyers-Ulam-Rassias stability of functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results ... See full document