TY - JOUR TI - On the stability of the linear transformation in Banach spaces AU - T. Aoki JO - J. Math. Soc. Japan PY - 1950 DA - 1950// VL - 2 ID - Aoki 1950 ER - TY - JOUR TI - The stability of certain functional equations AU - J. A. Baker JO - Proc. AMS PY - 1991 DA - 1991// VL - 112(3) ID - Baker 1991 ER - TY - JOUR TI - A fixed point approach to the stability of functional equations in non-Archimedean metric spaces AU - J. Brzdęk AU - K. Ciepliński JO - Nonlinear Analysis - TMA PY - 2011 DA - 2011// VL - 74 ID - Brzdęk2011 ER - TY - JOUR TI - Weighted space method for the stability of some nonlinear equations AU - L. Cădariu AU - L. Găvruţa AU - P. Găvruţa JO - Appl. Anal. Discrete Math. PY - 2012 DA - 2012// VL - 6 ID - Cădariu2012 ER - TY - JOUR TI - Fixed points and generalized Hyers-Ulam stability AU - L. Cădariu AU - L. Găvruţa AU - P. Găvruţa JO - Abstr. Appl. Anal. Article ID 712743 PY - 2012 DA - 2012// VL - 2012 ID - Cădariu2012 ER - TY - JOUR TI - Fixed points and the stability of Jensen's functional equation AU - L. Cădariu AU - V. Radu JO - J. Inequal. Pure and Appl. Math., Art. 4 PY - 2003 DA - 2003// VL - 4(1) ID - Cădariu2003 ER - TY - JOUR TI - On the stability of the Cauchy functional equation: a fixed points approach, Iteration theory (ECIT '02) AU - L. Cădariu AU - V. Radu JO - (J. Sousa Ramos, D. Gronau, C. Mira, L. Reich, A. N. Sharkovsky - Eds.)Grazer Math. Ber. PY - 2004 DA - 2004// VL - 346 ID - Cădariu2004 ER - TY - JOUR TI - Fixed point methods for the generalized stability of functional equations in a single variable AU - L. Cădariu L. AU - V. Radu JO - Fixed Point Theory and Applications, Article ID 749392 PY - 2008 DA - 2008// VL - 2008 ID - L.2008 ER - TY - BOOK TI - A general fixed point method for the stability of Cauchy functional equation AU - L. Cădariu L. AU - V. Radu PB - in Functional Equations in Mathematical Analysis, Th. M. Rassias, J. Brzdek (Eds.), Series Springer Optimization and Its Applications 52 PY - 2011 DA - 2011// CY - ID - L.2011 ER - TY - JOUR TI - A general fixed point method for the stability of the monomial functional equation AU - L. Cădariu L. AU - V. Radu JO - Carpathian J. Math. PY - 2012 DA - 2012// VL - 28 ID - L.2012 ER - TY - BOOK TI - On the Hyers-Ulam Stability of Quadratic Functional Equations AU - I.-S. Chang AU - H.-M. Kim PB - 3(3) PY - 2002 DA - 2002// CY - ID - Chang2002 ER - TY - BOOK TI - Functional Equations and Inequalities in Several Variables AU - S. Czerwik PB - World Scientific Publishing Company, New Jersey, London PY - 2002 DA - 2002// CY - Singapore Hong Kong ID - Czerwik2002 ER - TY - JOUR TI - A fixed point theorem of the alternative for contractions on a generalized complete metric space AU - J. B. Diaz AU - B. Margolis JO - Bull. Amer. Math. Soc. PY - 1968 DA - 1968// VL - 74 ID - Diaz1968 ER - TY - JOUR TI - An existence and stability theorem for a class of functional equations AU - G. L. Forti JO - Stochastica PY - 1980 DA - 1980// VL - 4 ID - Forti1980 ER - TY - JOUR TI - Hyers-Ulam stability of functional equations in several variables AU - G. L. Forti JO - Aeq. Math. PY - 1995 DA - 1995// VL - 50 ID - Forti 1995 ER - TY - JOUR TI - Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations AU - G. L. Forti JO - J. Math. Anal. Appl. PY - 2004 DA - 2004// VL - 295(1) ID - Forti2004 ER - TY - JOUR TI - On stability of additive mappings AU - Z. Gajda JO - Internat. J. Math. Math. Sci. PY - 1991 DA - 1991// VL - 14 ID - Gajda1991 ER - TY - JOUR TI - Matkowski contractions and Hyers-Ulam stability AU - L. Găvruţa JO - Bul. Şt. Univ. ''Politehnica'' Timişoara, Seria Mat.-Fiz. PY - 2008 DA - 2008// VL - 53(67) ID - Găvruţa2008 ER - TY - JOUR TI - A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings AU - P. Găvruţa JO - J. Math. Anal. Appl. PY - 1994 DA - 1994// VL - 184 ID - Găvruţa1994 ER - TY - JOUR TI - On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings AU - P. Găvruţa JO - J. Math. Anal. Appl. PY - 2001 DA - 2001// VL - 261 ID - Găvruţa2001 ER - TY - JOUR TI - A new method for the generalized Hyers-Ulam-Rassias stability AU - P. Găvruţa AU - L. Găvruţa JO - Int. J. Nonlinear Anal. Appl. PY - 2010 DA - 2010// VL - 1 ID - Găvruţa2010 ER - TY - JOUR TI - On the stability of the linear functional equation AU - D. H. Hyers JO - Prod. Natl. Acad. Sci. USA PY - 1941 DA - 1941// VL - 27 ID - Hyers1941 ER - TY - BOOK TI - Stability of Functional Equations in Several Variables AU - D. H. Hyers AU - G. Isac G. AU - Th. M. Rassias PB - Birkhauser PY - 1998 DA - 1998// CY - Basel ID - Hyers1998 ER - TY - BOOK TI - Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis AU - S.-M. Jung PB - Series Springer Optimization and Its Applications PY - 2011 DA - 2011// CY - Springer ID - Jung2011 ER - TY - JOUR TI - The Hyers-Ulam stability for two functional equations in a single variable AU - D. Miheţ JO - Banach J. Math. Anal. Appl. PY - 2008 DA - 2008// VL - 2 ID - Miheţ 2008 ER - TY - JOUR TI - The fixed point alternative and the stability of functional equations AU - V. Radu JO - Fixed Point Theory PY - 2003 DA - 2003// VL - 4 ID - Radu2003 ER - TY - JOUR TI - On the stability of the linear mapping in Banach spaces AU - Th. M. Rassias JO - Proc. Amer. Math. Soc. PY - 1978 DA - 1978// VL - 72 ID - Rassias1978 ER - TY - JOUR TI - On the stability of functional equations and a problem of Ulam AU - Th. M. Rassias JO - Acta Appl. Math. PY - 2000 DA - 2000// VL - 62 ID - Rassias2000 ER - TY - BOOK TI - Problems in Modern Mathematics, Chapter VI AU - S. M. Ulam PB - Science Editions, Wiley PY - 1964 DA - 1964// CY - New York ID - Ulam1964 ER -