| A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES＊ |
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| 引用本文： | 许天周,Rassias John Michael,许婉欣.A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES＊[J].数学物理学报(B辑英文版),2012,32(3):866-892. |
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| 作者姓名： | 许天周 Rassias John Michael 许婉欣 |
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| 作者单位： | School of Mathematics,Beijing Institute of Technology;Pedagogical Department E.E.,Section of Mathematics and Informatics,National and Capodistrian University of Athens,4,Agamemnonos Str.,Aghia Paraskevi,Athens 15342,Greece;School of Communication and Information Engineering,University of Electronic Science and Technology of China;Department of Electrical and Computer Engineering,College of Engineering,University of Kentucky,Lexington 40506,USA |
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| 基金项目： | The first author was supported by the National Natural Science Foundation of China （10671013, 60972089, 11171022）. |
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| 摘 要： | Using a fixed-point method,we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation:f(kx + y) + f(kx - y) =kf(x + y) + kf(x -y) + 2f(kx) - 2kf(x) in Banach modules o...
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| 关 键 词： | Banach module stability additive function cubic function unital Banach algebra generalized metric space fixed-point JMRassias(or JMR) mixed product-sum of powers of norms |
| 收稿时间： | 25 January 2010 |
| 修稿时间： | 18 February 2011 |
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