一类非线性算子的若干定理

Some Theorems of a Class of Nonlinear Operator

研究了一类非线性算子的几个不动点问题 ,在偏序Banach空间得到了若干新的结果 作为其应用 ,得到了Wm ,q(Ω)空间中不动点的存在性定理 同时 。

We study several fixed point problems of a class of nonlinear operator,and obtain some new results in partial order Banach space.As the applications,we obtain existence theorem of fixed point in the W m,q (Ω) space.In the meantime,these theorems improve the main results of some references.