A Study Of The Fixed Points Of Multi-valued Nonlinear Operators

In this paper,we use "selecf","continuous select" to discuss the construction for the fixed points of a class of mappings in Banach space(Hilbert space).Finally,we discuss the possibility of using Mann iterative method to construct the fixed points of these opera-tors,This paper will be divided into three parts.In the first chapter,we introduce some conceptions and interrelated results of the paper.In the second chapter,we discuss the properties of Mann operator, general Mann operator,multi-valued Mann operator and general multi-valued Mann operator.We give some specific examples,too.In the third chapter,we discuss the construction of the fixed points of the nonlinear operators on simplex and starlike set in R~n.