the main goal of this paper is the study of the generalized hyers-ulam stability of the following functionalequation f (2x  y)  f (2x  y)  (n 1)(n  2)(n  3) f ( y)  2n2 f (x  y)  f (x  y)  6 f (x) where n  1,2,3,4 , in non–archimedean spaces, by using direct and fixed point methods.

In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-Archimedean $mathcal{L}$-fuzzy normed spaces.

2,109,698 3/1938 Harman ....................................... 18/53 2,186,769 1/1940 Schrim ......... ... 260/377 4,123,530 10/1978 Corvi-Mora ......... ... 424/250 5,506,258 4/1996 Christophe et al. . ... 514/423 5,552,411 9/1996 Downing et al. ........ ... 514/312 5,554,621 9/1996 Poindexter et al. .................... 514/278 5,571,921 11/1996 Bender et al. .......................... 546/1...

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Kobayashi, E. (in press). Identification of tumor-infiltrating cells in malignant rhabdoid tumor of the kidney and associated metastatic potential. Clinical Cancer Research. high school students in Japan: Examining risk and protective lifestyle factors related to substance use.

1 Laboratoire Imagerie et Modélisation en Neurobiologie et Cancérologie (IMNC), CNRS UMR 8165, Université Paris VII-Paris XI, Bâtiment 104, 91406 Orsay, France 2 Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau, France 3Department of Mathematics, Pondicherry University, Kalapet, Puducherry 605014, India 4Department of Mathematics, Kanchi Mamunivar Centre for Postgraduate...