[PDF] Top 20 On Approximate -Ternary -Homomorphisms: A Fixed Point Approach
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On Approximate -Ternary -Homomorphisms: A Fixed Point Approach
... 1 S. Duplij, “Ternary Hopf algebras,” in Symmetry in Nonlinear Mathematical Physics, vol. 2 of Nats¯ ıonal’no¨ ı Akadem¯ ı¨ ı Nauk Ukra¨ ıni Mat. Zastos., 43, Part 1, 2; Nats¯ ıonal’no¨ ı Akadem¯ ı¨ ı Nauk Ukra¨ ... See full document
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Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
... Ternary algebraic operations were considered in the XIX-th century by several mathematicians such that as A. Cayley [6] who first introduced in 1840 the notion of ”cubic matrices” and a generalization of the ... See full document
12
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
... In 2003 C˘ adariu and Radu applied the fixed point method to the investigation of the Jensen functional equation [4] (see also [5], [6], [18], [32]). They could present a short and a simple proof (different ... See full document
13
Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
... The stability problem of functional equations had been first raised by Ulam [1]. This problem solved by Hyers [2] in the framework of Banach spaces. In 1978, Th.M. Ras- sias [3] provided a generalization of the Hyers ’ ... See full document
8
Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach algebras
... for all x Î E. Moreover if f(tx) is continuous in t Î ℝ for each fixed x Î E, then T is linear. Aoki [3] and Bourgin [4] considered the stability problem with unbounded Cau- chy differences. In 1978, Rassias [5] ... See full document
11
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
... From now on, unless otherwise stated, we will assume that X is a non-Archimedean normed space and Y is a non-Archimedean Banach space. Utilizing the fixed point alternative, we investigate the Hyers-Ulam ... See full document
12
Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras
... a fixed point method, we prove the generalized Hyers-Ulam stability of random homomorphisms in ran- dom C ∗ -algebras and random Lie C ∗ -algebras and of derivations on Non-Archimedean random C ∗ ... See full document
12
Random homomorphisms and random derivations in random normed algebras via fixed point method
... The stability problem of functional equations originated from the question of Ulam [] concerning the stability of group homomorphisms. Hyers [] gave the first affirmative par- tial answer to the question of Ulam ... See full document
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Approximate ternary quadratic derivations on ternary Banach algebras and C* ternary rings
... of ternary quadratic derivations on ternary Banach ...of ternary derivations on C*-ternary rings ...the fixed point alternative (Theorem ... See full document
9
Approximate m Lie homomorphisms and approximate Jordan m Lie homomorphisms associated to a parametric additive functional equation
... In 2003, Cădariu and Radu applied the fixed point method to the investigation of the Jensen functional equation [13] (see also [14-16]). They could present a short and a simple proof (different of the “ ... See full document
9
Fixed points and stability of functional equations in fuzzy ternary Banach algebras
... and approximate homomorphisms have been extensively investigated by a number of authors, and there are many interesting results concerning this problem (see ... See full document
10
Homomorphisms and derivations in C∗ ternary algebras via fixed point method
... Rassias [] during the th International Symposium on Functional Equations asked the question whether such a theorem can also be proved for p ≥ . Gajda [] following the same approach as in Rassias [], gave an ... See full document
13
Approximate lie brackets: a fixed point approach
... The stability problem of functional equations originated from a question of Ulam [1] concerning the stability of group homomorphisms. Hyers [2] gave a first affirmative answer to the question of Ulam for Banach ... See full document
8
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
... If (A, ) is a usual (binary) algebra, then [x, y, z] := (x y) z makes A into a ternary algebra. Hence the ternary algebra is a natural generalization of the binary case. In particular, if a ternary ... See full document
9
On generalized weakly directional contractions and approximate fixed point property with applications
... metric fixed point theory, we first introduce the concept of directional hidden contractions as ...new fixed point results and show that sev- eral already existent results could be ... See full document
22
Lie $^*$-double derivations on Lie $C^*$-algebras
... Clearly, if σ = id, the identity mapping on A, then a σ – derivation an ordinary derivation. On the other hand, each homomorphism f is a f 2 – derivation. Thus, the theory of σ – derivations combines the theory of ... See full document
9
C∗ ternary 3 derivations on C∗ ternary algebras
... Ternary algebraic operations were considered in the nineteenth century by several math- ematicians such as Cayley [] who introduced the notion of a cubic matrix, which in turn was generalized by Kapranov, Gelfand ... See full document
9
The Odd Point Ternary Approximating Schemes
... odd-point ternary approximating schemes and analysis by Laurent formalism of one odd-point ternary scheme is presented in Section ...odd-point ternary schemes are discussed in ... See full document
8
Approximate fixed point in G-metric spaces for various types of operators
... the approximate fixed point property for a cyclic map T on a G-metric ...regarding approximate fixed Point of cyclic maps on a G-metric ...several approximate fixed ... See full document
16
A Fixed Point Approach to the Stability of the Functional Equation
... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...the fixed point method for studying the stability problems of ...the fixed point ... See full document
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