二元多值算子及其不动点理论

FIXED POINT TIIEORY OF BINARY MULTIVALUED OPERATORS

本文主要讨论形如 A:X×X→2~x 的二元多值算子及其不动点理论.点(x,y)∈X×X称为 A 的耦合不动点,如果 x∈A(x,y),y∈A(y,x).文中推广了形如:A:X→2~x 的多值算子的有关不动点定理,同时给出了一个简单应用.

This paper mainly discusses the fixed point theory of the binary multivalued operator as the type of A:X×X→2~x.(x,y)∈X×X is called a coupled fixed point of A,if x∈A(x,y),y∈A(y,x).We extended the fixed point theory about the multivalued operator as A:X→2~x.Then gaves a simple application.