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Fuzzy stability of generalized mixed type cubic, quadratic, and additive functional equation. (English) Zbl 1272.39016

Summary: We prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces.

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
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[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
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