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Stability of Cauchy–Jensen type functional equation in generalized fuzzy normed spaces
Authors:M. Eshaghi Gordji  H. Khodaei  M. Kamyar
Affiliation:Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran;Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, Iran
Abstract:In this paper, we establish some stability results concerning the Cauchy–Jensen functional equation in generalized fuzzy normed spaces. The results of the present paper improve and extend some recent results.
Keywords:Generalized fuzzy normed space   Fuzzy   stixSupport"   id="  mmlsi1"  >  inlMMLBox"  >  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S089812211100647X&  _mathId=si1.gif&  _pii=S089812211100647X&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=2fc0945c4c9d53d00b49195e9af65229')"   style="  cursor:pointer  "  >  click to view the MathML source"  >?-normed space   Non-Archimedean fuzzy   stixSupport"   id="  mmlsi2"  >  inlMMLBox"  >  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S089812211100647X&  _mathId=si2.gif&  _pii=S089812211100647X&  _issn=08981221&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=6e7950abad3df45d60cdf22e62fb20e6')"   style="  cursor:pointer  "  >  click to view the MathML source"  >?-normed space   Cauchy&ndash  Jensen equation   Stability
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