关键词: 迭代, 函数方程, 集值映射, 上半连续, Banach 不动点原理

Abstract: The result on existence of solutions for a multivalued iterative equation given in [9] is extended to a larger class of multivalued functions which may be set-valued at end-points. Moreover, continuous dependence of the solution upon the given function is also obtained.

Key words: Iteration, Functional equation, Multivalued function, Upper semicontinuity, Banach’s principle