FIXED POINTS AND THE STABILITY OF JENSENS FUNCTIONAL EQUATION

By Liviu Cadariu, Viorel Radu. 2003

334 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/390a1ddef8f10594c4f9e6ca4f5478b7157561a4

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Citations in the corpus

HYERS-ULAM-RASSIAS STABILITY OF FRACTIONAL DIFFERENTIAL EQUATION (2015, methodology): “Electron J Qualit Th Diff Equat 2011;63: [20] Cadariu L, Radu V. Fixed points and the stability of Jensens functional equation J Inequal Pure Appl Math 2003;4(1): [21] Jung S-M.”
A fixed point approach to stability of a quadratic equation (2005, methodology): “s is the so-called orthogonally quadratic functional equation of Pexider type f(x+y)+g(x−y) = h(x)+k(y),x⊥ y. Recently, the second author investigated this equation with “g= f”. Using some ideas from [11, 19, 21, 22, 20, 4], we aim to use the alternative of ﬁxed point theorem to establish the stabil”
A fixed point approach to the stability of the cubic functional equation (2006, methodology): “In the following theorems, by using the idea of Cădariu and Radu (see [2], [3]), we will prove the Hyers-Ulam-Rassias stability of the cubic functional equation in a more general setting.”
Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation (2015, methodology): “Since then, the stability problems of various functional equations have been investigated by many authors (see [1-17]).”
A fixed point approach to the stability of isometries (2007, unknown): “[7,22]).”
A Fixed Point Approach to the Stability of a Volterra Integral Equation (2007, methodology): “Using such a clever idea, they could present another proof for the Hyers-Ulam stability of that equation [13–15].”
Fixed Point Theory and the Ulam Stability (2014, methodology): “The idea emphasized in [20, 45, 51] has been subsequently used for the quadratic equation in [52], the cubic equation in [53], the quartic equation in [54], equations (2) and (5) in [55], and the monomial equation in [56].”
STABILITY OF MAPPINGS ON MULTI-NORMED SPACES (2007, unknown): “Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings from linear spaces into multi-normed spaces by using a fixed point approach in the style of [4, 11, 17].”