Báo cáo hóa học: " Research Article Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009 Article ID 460912 10 pages doi 2009 460912 Research Article Fuzzy Stability of the Pexiderized Quadratic Functional Equation A Fixed Point Approach Zhihua Wang1 2 and Wanxiong Zhang3 1 Department of Mathematics Sichuan University Chengdu Sichuan 610064 China 2 School of Science Hubei University of Technology Wuhan Hubei 430068 China 3 College of Mathematics and Physics Chongqing University Chongqing 400044 China Correspondence should be addressed to Wanxiong Zhang cqumatzwx@ Received 25 April 2009 Revised 31 July 2009 Accepted 16 August 2009 Recommended by Massimo Furi The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy version. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator. Copyright 2009 Z. Wang and W. Zhang. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction The aim of this article is to extend the applications of the fixed point alternative method to provide a fuzzy version of Hyers-Ulam-Rassias stability for the functional equation f x y f x - y 2g x 2h y z C1-1 which is said to be a Pexiderized quadratic functional equation or called a quadratic functional equation for f g h. During the last two decades the Hyers-Ulam-Rassias stability of has been investigated extensively by several mathematicians for the mapping f with more general domains and ranges 1-4 . In view of fuzzy space Katsaras 5 constructed a fuzzy vector topological structure on the linear space. Later some other type fuzzy norms and some properties of fuzzy normed linear spaces have been considered by some mathematicians 6-12 . Recently .

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