Approximate additive and quadratic mappings in 2-Banach spaces and related topics | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 3، شماره 2، 2012، صفحه 75-81 اصل مقاله (314.7 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2012.55 | ||
| نویسندگان | ||
| Y. J. Cho1؛ C. Park2؛ M. Eshaghi Gordji* 3 | ||
| 1Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea | ||
| 2Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea | ||
| 3Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. | ||
| چکیده | ||
| Won-Gil Park [Won-Gil Park, J. Math. Anal. Appl., 376 (1) (2011) 193{202] proved the Hyers-Ulam stability of the Cauchy functional equation, the Jensen functional equation and the quadratic functional equation in 2-Banach spaces. One can easily see that all results of this paper are incorrect. Hence the control functions in all theorems of this paper are not correct. In this paper, we correct these results. | ||
| کلیدواژهها | ||
| Hyers-Ulam Stability؛ Cauchy Functional Equation؛ Jensen Functional Equation؛ quadratic functional equation | ||
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