Functional equation titu

... Fuzzy Hyers-Ulam stability of an additive functional equation Hassan Azadi Kenary1 , Hamid Rezaei1 , Anoshiravan Ghaffaripour1 , Saedeh Talebzadeh2 , Choonkil Park3 , Jung Rye Lee∗4 Department of ... of view (see [22, 23]) In particular, Bag and Samanta [24], following Cheng and Mordeson [25], gave an idea of fuzzy norm in such a manner that the corresponding fuzzy metric i...

Ngày tải lên: 18/06/2014, 15:20

... Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach Hassan Azadi Kenary1 , Choonkil Park∗2 , Hamid Rezaei1 and Sun Young Jang3 Department ... functional equations in Banach algebras Fixed Point Theory Appl 2007, Art ID 50175, 15 (2007) 19 [49] Park, C: Generalized Hyers-Ulam-Rassias stability of qua...

Ngày tải lên: 18/06/2014, 22:20

... Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach Hassan Azadi Kenary1 , Choonkil Park∗2 , Hamid Rezaei1 and Sun Young Jang3 Department ... Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables Birkh¨user, a Basel (1998) [23] Jung, S: Hyers-Ulam-Rassias Stability of Fun...

Ngày tải lên: 20/06/2014, 04:20

... doi:10.1016/j.na.2005.06.028 Bae, J-H, Park, W-G: On a cubic equation and a Jensen -quadratic equation Abstr Appl Anal 2007 (2007) Article ID 45179 Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability ... : = ax2 + bxy + cy2 is a solution of the Equation 1.1 The authors [12] acquired the general solution and proved the stability of the funct...

Ngày tải lên: 20/06/2014, 22:20

... Drljević [30], Fochi [31], Moslehian [32,33], Szabó [34], Moslehian and Th.M Rassias [35] and Paganoni and Rätz [36] have investigated the orthogonal stability of functional equations Let X be a ... set of nonnegative real numbers, then there exists y0 Î P such that x ⊥ y0 and x + y0 ⊥ lx - y0 The pair (X, ⊥) is called an orthogonality space By an orthogonality normed space, we...

Ngày tải lên: 20/06/2014, 22:20

... using the fixed point alternative approach, we prove the Hyers-Ulam stability of the functional equation (1) in fuzzy normed spaces In the rest of the article, assume that X is a vector space and ... Non-Archimedean stability of the functional equation (1) In this section, using the fixed point alternative approach, we prove the Hyers-U...

Ngày tải lên: 20/06/2014, 22:20

... called a mixed type functional equation We say a solution of (1.3) a quadratic-additive mapping In 2002, Jung [24] obtained a stability of the functional equation (1.3) by taking and composing an additive ... Jin and Lee Journal of Inequalities and Applications 2011, 2011:70 http://www.journalofinequalitiesandapplications.com/content/2011/1/70 Page of 12 We call a...

Ngày tải lên: 20/06/2014, 22:20

... result on the Ulam-Hyers stability of the quadratic functional equation Recently, Shakeri, Saadati and Park [10] investigated the Ulam-Hyers stability of Equation (1.1) in non-Archimedean L -fuzzy ... Khodaei, H: On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations Abst Appl Anal 2009 (2009) Article ID 923476 13 Ravi, K, Rassias...

Ngày tải lên: 20/06/2014, 22:20

... applications of stability theory of functional equations for the proof of new fixed point theorems with applications Using fixed point methods, the stability problems of several functional equations ... Nonlinear L -random stability of an ACQ functional equation J Inequal Appl 2011, Art ID 194394 (2011) 26 Saadati, R, Park, C: Non-Archimedean L-fuzzy normed spaces a...

Ngày tải lên: 21/06/2014, 00:20

... it holds ε 3 + 3 + f (p) ∼ ⇒ [f (x + p) ∼ f (x) and f (x − p) ∼ f (x) ] Proof The first assertion follows from δ f (x) = min {f (x + 0), f (x − 0)} ∼ |f (x) − f (0) ≥ 0, x ∈ G (2:4) The second ... Warszawa-Kraków-Katowice (1985) doi:10.1186/102 9-2 42X-201 1-2 2 Cite this article as: Przebieracz: The stability of func...

Ngày tải lên: 21/06/2014, 01:20

... tnorms In the sequel, we adopt the usual terminology, notations and conventions of the theory of random normed spaces, as in [35-37] Throughout this paper, Δ+ is the space of distribution functions, ... JM: On the stability of the non-linear Euler-Lagrange functional equation in real normed linear spaces J Math Phys Sci 28, 231–235 (1994) Rassias, JM: On...

Ngày tải lên: 21/06/2014, 01:20

... so, by the continuity of non-Archimedean norm and taking the limit of both sides of the above inequality, we get q(x + y) + q(x + σ (y)) − 2q(x) − 2q(y) = Thus, q is a solution of the Equation 2.5 ... Aoki, T: On the stability of the linear transformation in Banach spaces J Math Soc Jpn 2, 64–66 (1950) doi:10.2969/ jmsj/00210064 Rassias, THM: On the stabil...

Ngày tải lên: 21/06/2014, 02:20

... geometry of nuclear physics and have important application in quantum particle physics The generalized Hyers-Ulam stability of different functional equations in random normed spaces, RN-spaces and ... applications of stability theory of functional equations for the proof of new fixed point theorems with applications By using fixed point methods, the stability problems of se...

Ngày tải lên: 21/06/2014, 05:20

... the stability of the linear transformation in Banach spaces,” Journal of the Mathematical Society of Japan, vol 2, pp 64–66, 1950 T M Rassias, “On the stability of the linear mapping in Banach ... Theory and Applications The paper of Rassias has provided a lot of influence in the development of what we called the generalized Hyers-Ulam-Rassias stability of functional...

Ngày tải lên: 21/06/2014, 07:20

... an alternative functional equation, ” Journal of Mathematical Analysis and Applications, vol 339, no 1, pp 303–311, 2008 19 B Batko, On approximation of approximate solutions of Dhombres’ equation, ” ... and Applications, vol 276, no 2, pp 747–762, 2002 15 J M Rassias and M J Rassias, On the Ulam stability of Jensen and Jensen type mappings on restricted dom...

Ngày tải lên: 21/06/2014, 07:20