[PDF] Top 20 General Solution and Stability of Quattuordecic Functional Equation in Quasi β Normed Spaces
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General Solution and Stability of Quattuordecic Functional Equation in Quasi β Normed Spaces
... Suppose on the contrary that there exists a Quattuordecic mapping Q : → and constant d > 0 such that f x ( ) − Q x ( ) ≤ d x 14 ∀ ∈ x . Then there exists a constant c ∈ such that Q x ( ) = cx 14 for all ... See full document
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A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi Normed Spaces
... the general solution of the quintic functional equation f x 3y − 5fx 2y 10fx y − 10fx 5fx − y − fx − 2y 120fy and the sextic functional equation fx 3y − 6fx 2y 15f x y − 20f x ... See full document
23
Solution and Stability of an ACQ Functional Equation in Generalized 2-Normed Spaces
... (3.1.39) for all v ∈ U and all y U ∈ . The rest of the proof is similar to that of Theorem 3.1.1.The following corollary is an immediate consequence of Theorem 3.1.3 concerning the stability of (1.1). ... See full document
12
Ulam - Hyers stability of a 2- variable AC - mixed type functional equation in quasi - beta normed spaces: direct and fixed point methods
... Over the last seven decades, the above problem was tackled by numerous authors and its solutions via various forms of functional equations including mixed type additive and cubic functional equations were ... See full document
21
Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces
... in quasi-β-normed spaces by using fixed point ...above functional equation in quasi-β-normed spaces by using fixed point ... See full document
8
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... unique solution, we say the equation is stable see 1. The first stability problem concerning group homomorphisms was raised by Ulam 2 in 1940 and affirmatively solved by Hyers ... See full document
16
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... the functional equation 1.7. In the sequel, we investigate the general solution of functional equation ...vector spaces, and then we prove the generalized Hyers-Ulam ... See full document
19
Stability Problems of Quintic Mappings in Quasi Normed Spaces
... For this reason, 1.1 is called a quartic functional equation. Also Chung and Sahoo 16 determined the general solution of 1.1 without assuming any regularity conditions on the unknown function. ... See full document
9
The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... extend general fuzzy normed spaces to fuzzy β -normed spaces and adopt the fixed point and direct methods to prove the Hyers-Ulam-Rassias stability of the quartic ... See full document
14
On the Stability of Generalized Quartic Mappings in Quasi Normed Spaces
... the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given ... See full document
11
Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces
... of stability is an important branch of the qualitative theory of functional ...of stability for a functional equation arises when one replaces a functional equation by an ... See full document
7
A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation ...The general solution and the generalized Hyers-Ulam-Rassias stability ... See full document
24
Orthogonal Stability of Mixed Additive Quadratic Jensen Type Functional Equation in Multi Banach Spaces
... operator spaces and Banach lattices. Motivations for the study of multi-normed spaces and many examples are given in ...the stability problems in mul- ti-Banach spaces are studied by ... See full document
8
On the Ulam Hyers stability of a quadratic functional equation
... the stability pro- blem for Equation ...normed spaces. Euler-Lagrange type func- tional equations in various spaces have been constantly studied by many ... See full document
9
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ...a general ... See full document
11
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic ... See full document
16
On the stability of an AQCQ functional equation in random normed spaces
... In the sequel, we adopt the usual terminology, notations and conventions of the the- ory of random normed spaces, as in [35-37]. Throughout this paper, Δ + is the space of distribution functions, that is, ... See full document
12
On the stability of a cubic functional equation in random 2 normed spaces
... The stability problem for the cubic functional equation was proved by Jun and Kim [5] for mappings f: X ® Y, where X is a real normed space and Y is a Banach ...of stability of cubic ... See full document
10
Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...the stability problems of several functional equations have been extensively investigated ... See full document
18
Erratum to: A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"
... cubic functional equation is said to be a cubic mapping. The stability problem for the cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , where X ... See full document
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