Article ID Journal Published Year Pages File Type
4664642 Acta Mathematica Scientia 2008 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)