fixed point approach
A fixed point approach to the stability of a functional equation on quadratic forms
... A fixed-point approach to the stability of a functional equation on quadratic forms Jae-Hyeong Bae1 and Won-Gil Park2* * Correspondence: [email protected] 2 Department of Mathematics E[r] ...
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A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Algebras
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 256165, 10 pages doi 10 1155/2009/256165 Research Article A Fixed Point Approach to the Stability of a Quadratic[.] ...
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Stability of Functional Equations in Multi Banach Spaces via Fixed Point Approach
... In the last section, we prove the stability problem in the sense of Hyers-Ulam-Rassias for the functional equations 1.1 and 1.2 on Multi-Banach spaces by using fixed point approach.. We [r] ...
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New viscosity method for hierarchical fixed point approach to variational inequalities
... fixed point of an infinite family of nonexpansive mappings is presented; and some strong convergence theorems for solving variational inequality problems and hierarchical fixed point problems are obtained ...
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A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
... Recently, C˘adariu and Radu 15 applied the fixed point method to the investigation of the Cauchy additive functional equation see 16, 17. Using such a clever idea, they could present a short, simple proof ...
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A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus
... Assume that inequality 3.3 is also satisfied with another function G : a, ∞ → C which is a solution of 1.1. As G is a solution of 1.1, G satisfies that Gx Gx 1 − i/ √ x 1Gx ΛGx for all x ≥ a. In other words, G is a ...
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A Fixed Point Approach to the Stability of the Functional Equation
... Note that the only substantial difference of the generalized metric from the metric is that the range of generalized metric includes the infinity. We now introduce one of fundamental results of fixed point ...
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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution
... Rassias, “On the generalized Hyers-Ulam stability of the quadratic functional equation with a general involution,” Nonlinear Functional Analysis and Applications, vol.. Elqorachi, “Ulam-[r] ...
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On the Stability of Quadratic Double Centralizers and Quadratic Multipliers: A Fixed Point Approach
... We prove the superstability of quadratic double centralizers and of quadratic multipliers on Banach algebras by fixed point methods. These results show that we can remove the conditions of being weakly ...
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Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
... for all x ∈ E. Also, if for each x ∈ E the mapping ftx is continuous in t ∈ R, then L is R-linear. The above inequality 1.1 has provided a lot of influence in the development of what is now known as a Hyers-Ulam-Rassias ...
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Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ...some fixed point of a ...
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On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
... for all x, y, z, w ∈ X, that is, if d(f, g) < ε, we have d(Λf, Λg) ≤ Lε . This means that d(Λf, Λg) ≤ Ld(f, g) for all f, g ∈ Ω. This means that, Λ is a strictly contractive self-mapping on Ω with the Lipschitz ...
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Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
... result. Following the techniques of the proof of the corollary of Hyers [17] we observed that Hyers introduced (in 1941) the following Hyers continuity condition: about the continuity of the mapping for each ...
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A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of Ulam for Banach ...
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A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... Hyers’ theorem was generalized by Aoki 15 for additive mappings and by Th. M. Rassias 16 for linear mappings by considering an unbounded Cauchy difference. The paper of Th. M. Rassias 16 has provided a lot of influence in ...
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An Implicit Hierarchical Fixed-Point Approach to General Variational Inequalities in Hilbert Spaces
... Let C be a nonempty closed convex subset of a real Hilbert space H. Let F : C → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, V, T : C → C be nonexpansive mappings with FixT / ∅ where ...
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Approximate lie brackets: a fixed point approach
... of fixed point theorem [23,24]) Suppose that (Ω, d) is a complete generalized metric space and T : Ω ® Ω is a strictly contractive mapping with Lipschitz constant ...
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Almost partial generalized Jordan derivations: a fixed point approach
... Abstract Using fixed point method, we investigate the Hyers-Ulam stability and the superstability of partial generalized Jordan derivations on Banach modules related to Jensen type funct[r] ...
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Stability of the Jensen equation in C* algebras: a fixed point approach
... the fixed point alternative approach, we prove the Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for the Jensen ...
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A Fixed Point Approach to the Stability of a Volterra Integral Equation
... We now introduce one of the fundamental results of fixed point theory. For the proof, we refer to [11]. This theorem will play an important role in proving our main theorems. Theorem 1.1. Let (X ,d) be a ...
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