HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION

doi:10.1016/S0252-9602(08)60006-5

Acta mathematica scientia,Series B

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HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION

Zhang Wanxiong; Xu Bing

1.Department of Mathematics, Chongqing University, Chongqing 400044, China
2.Department of Mathematics, Sichuan University, Chengdu 610064, China

Received:2005-09-28 Revised:2006-06-12 Online:2008-01-20 Published:2008-01-20
Contact: Zhang Wanxiong

Abstract

Abstract:

Because multifunctions do not have so good properties as single-valued functions, only the existence of solutions of the polynomial-like iterative equation of order 2 is discussed for multifunctions. This article gives conditions for its Hyers-Ulam-Rassias stability. As a consequence, the authors obtain its Hyers-Ulam stability and prove that the equation has a unique multivalued solution near an approximate multivalued solution.

Key words: Hyers-Ulam-Rassias stability, Hyers-Ulam stability, multifunction, approximate solution

CLC Number:

39B12

Zhang Wanxiong; Xu Bing. HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION[J].Acta mathematica scientia,Series B, 2008, 28(1): 54-62.

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HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION

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