The stability of a generalized affine functional equation in fuzzy normed spaces
2016 ◽
Vol 100
(114)
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pp. 163-181
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We obtain the general solution of the following functional equation f(kx1+x2+???+xk)+f(x1+kx2+???+xk)+???+f(x1+x2+???+kxk)+f(x1)+ f(x2)+???+ f(xk)= 2kf(x1+ x2+???+xk), k ? 2. We establish the Hyers-Ulam-Rassias stability of the above functional equation in the fuzzy normed spaces. More precisely, we show under suitable conditions that a fuzzy q-almost affine mapping can be approximated by an affine mapping. Further, we determine the stability of same functional equation by using fixed point alternative method in fuzzy normed spaces.
On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method
2012 ◽
Vol 2012
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pp. 1-13
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2011 ◽
Vol 403-408
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pp. 879-887
2015 ◽
Vol 28
(2)
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pp. 513-523
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2012 ◽
Vol 25
(2)
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pp. 201-215
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2015 ◽
Vol 20
(1)
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pp. 25-40
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