Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/1029-242X-2011-78
Keywords
Pexiderized Cauchy functional equation; generalized Hyers-Ulam stability; Jensen functional equation; non-Archimedean space
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Funding
- Korea Research Foundation (KRF)
- Korea government (MEST) [2009-0075850]
- National Research Foundation of Korea [2009-0075850] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Lex X be a normed space and Y be a Banach fuzzy space. Let D = {( x, y) is an element of X x X : parallel to x parallel to + parallel to y parallel to >= d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and taking values in Y. We consider also the Pexiderized Cauchy functional equation.
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