一类非线性算子的不动点定理

FIXED POINT THEOREMS FOR A CLASS OF NONLINEAR OPERATORS

本文证明了拟压缩映射+强连续映射的若干不动点定理。

Suppose that H is a Hilbert space,Ω is a bounded open convex subset in H,θ∈Q.Suppose that B:H→H is a pseudo-contractive mapping which satisfies Lipschitz condition,C:→>H is a strongly continuous mapping and A=B+C.In this paper we prove that if Axλx for x∈Ω,λ>1, then A has a fixed point in .