Stability and Superstability of Generalized (Θ, Φ)-Derivations in Non-Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation
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Mohammad Bagher Ghaemi | Gwang Hui Kim | M. Eshaghi Gordji | Badrkhan Alizadeh | G. Kim | M. Ghaemi | M. Gordji | B. Alizadeh
[1] A. Ebadian,et al. Stability of a Functional Equation Deriving from Cubic and Quartic Functions , 2008, 0812.5020.
[2] A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras , 2011 .
[3] Belaid Bouikhalene,et al. ULAM-GAVRUTA-RASSIAS STABILITY OF A LINEAR FUNCTIONAL EQUATION , 2007 .
[4] A. C. M. van Rooij,et al. Non-Archimedean functional analysis , 1978 .
[5] Kamel Mirmostafaee,et al. NON-ARCHIMEDEAN STABILITY OF QUADRATIC EQUATIONS , 2010 .
[6] J. Rassias. Solution of a problem of Ulam , 1989 .
[7] Paisan Nakmahachalasint,et al. Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables , 2007, Int. J. Math. Math. Sci..
[8] Zenon Moszner,et al. On the stability of functional equations , 2009 .
[9] John Michael Rassias,et al. Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces , 2009 .
[10] R. Saadati,et al. Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces , 2010 .
[11] Paisan Nakmahachalasint,et al. On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations , 2007, Int. J. Math. Math. Sci..
[12] Zbigniew Gajda,et al. On stability of additive mappings , 1991 .
[13] H. Khodaei,et al. Approximately generalized additive functions in several variables , 2010 .
[14] H. Khodaei,et al. On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations , 2009 .
[15] Kamel Mirmostafaee,et al. Non-Archimedean Stability of the Monomial Functional Equations , 2010 .
[16] John Michael Rassias,et al. On approximation of approximately linear mappings by linear mappings , 1982 .
[17] M. Eshaghi Gordji,et al. Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation , 2009 .
[18] Bouikhalene Belaid,et al. Ulam-Gavruta-Rassias stability of the Pexider functional Equation , 2007 .
[19] T. Rassias. On the stability of the linear mapping in Banach spaces , 1978 .
[20] E. Ansari-piri,et al. Superstability of Generalized Derivations , 2010 .
[21] W. A. Beyer,et al. Stability of the Cauchy functional equation over p-adic fields. , 2006 .
[22] Jianlian Cui,et al. Isomorphisms and Derivations in Lie C , 2007 .
[23] M. B. Savadkouhi,et al. Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces , 2009 .
[24] F. Rostami,et al. Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach , 2010 .
[25] M. Gordji,et al. GENERAL QUARTIC-CUBIC-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES , 2010 .
[26] R. Badora. ON APPROXIMATE DERIVATIONS , 2006 .
[27] D. G. Bourgin. Approximately isometric and multiplicative transformations on continuous function rings , 1949 .
[28] Andrei Khrennikov,et al. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models , 2011 .
[29] P. Šemrl. The functional equation of multiplicative derivation is superstable on standard operator algebras , 1994 .
[30] Choonkil Park,et al. Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping , 2006 .
[31] S. Ulam. Problems in modern mathematics , 1964 .
[32] John Michael Rassias,et al. Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I) , 2009 .
[33] K. Hensel,et al. Über eine neue Begründung der Theorie der algebraischen Zahlen. , 1897 .
[34] John Michael Rassias,et al. Ulam Stability for the Orthogonally General Euler - Lagrange Type Functional Equation , 2008 .
[35] D. H. Hyers. On the Stability of the Linear Functional Equation. , 1941, Proceedings of the National Academy of Sciences of the United States of America.
[36] George Isac,et al. Stability of Functional Equations in Several Variables , 1998 .
[37] A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS , 2011 .
[38] John Michael Rassias,et al. Approximate ternary Jordan derivations on Banach ternary algebras , 2009 .
[39] P. Gǎvruţa,et al. A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings , 1994 .