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Abstract: We approximate a fuzzy almost quadratic function by a quadratic function in afuzzy sense. More precisely, we establish a fuzzy Hyers-Ulam-Rassiasstability of the quadratic functional equation $fx+y+fx-y=2fx+2fy$. Ourresult can be regarded as a generalization of the stability phenomenon in theframework of normed spaces. We also prove a generalized version of fuzzystability of the Pexiderized quadratic functional equation$fx+y+fx-y=2gx+2hy$.



Author: A.K. Mirmostafaee, M.S. Moslehian

Source: https://arxiv.org/







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