Gordji, Madjid Eshaghi; Kamyar, Mahdie; Khodaei, Hamid; Shin, Dong Yung; Park, Choonkil Fuzzy stability of generalized mixed type cubic, quadratic, and additive functional equation. (English) Zbl 1272.39016 J. Inequal. Appl. 2011, Paper No. 95, 22 p. (2011). Summary: We prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. Cited in 3 Documents MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges 46S40 Fuzzy functional analysis Keywords:fuzzy Hyers-Ulam stability; mixed functional equation; fuzzy normed space; cubic; quadratic; additive PDFBibTeX XMLCite \textit{M. E. Gordji} et al., J. Inequal. Appl. 2011, Paper No. 95, 22 p. (2011; Zbl 1272.39016) Full Text: DOI References: [1] doi:10.1073/pnas.27.4.222 · Zbl 0061.26403 · doi:10.1073/pnas.27.4.222 [2] doi:10.2969/jmsj/00210064 · Zbl 0040.35501 · doi:10.2969/jmsj/00210064 [3] doi:10.1090/S0002-9939-1978-0507327-1 · doi:10.1090/S0002-9939-1978-0507327-1 [4] doi:10.1006/jmaa.1994.1211 · Zbl 0818.46043 · doi:10.1006/jmaa.1994.1211 [5] doi:10.1007/BF02924890 · Zbl 0599.39007 · doi:10.1007/BF02924890 [6] doi:10.1007/BF02941618 · Zbl 0779.39003 · doi:10.1007/BF02941618 [7] doi:10.1016/j.na.2009.04.052 · Zbl 1179.39034 · doi:10.1016/j.na.2009.04.052 [8] doi:10.1016/j.jmaa.2007.03.104 · Zbl 1127.39055 · doi:10.1016/j.jmaa.2007.03.104 [9] doi:10.1016/j.jmaa.2007.12.039 · Zbl 1228.39028 · doi:10.1016/j.jmaa.2007.12.039 [10] doi:10.1016/j.jmaa.2005.11.053 · Zbl 1106.39027 · doi:10.1016/j.jmaa.2005.11.053 [11] doi:10.1016/j.fss.2008.11.027 · Zbl 1182.39023 · doi:10.1016/j.fss.2008.11.027 [12] doi:10.4134/BKMS.2010.47.3.491 · Zbl 1196.39016 · doi:10.4134/BKMS.2010.47.3.491 [13] doi:10.1080/17442508008833155 · Zbl 0436.60044 · doi:10.1080/17442508008833155 [14] doi:10.1007/BF01831117 · Zbl 0836.39007 · doi:10.1007/BF01831117 [15] doi:10.1016/j.geomphys.2009.11.004 · Zbl 1188.39029 · doi:10.1016/j.geomphys.2009.11.004 [16] doi:10.1016/j.fss.2009.01.011 · Zbl 1187.46067 · doi:10.1016/j.fss.2009.01.011 [17] doi:10.1016/j.fss.2004.05.004 · Zbl 1077.46059 · doi:10.1016/j.fss.2004.05.004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.