一类拟非扩张算子的不动点定理

Fixed Point Theorem for a Class of Pseudo-nonexpansive Mappings

讨论了一类非线性拟非扩张算子———M型拟非扩张算子的不动点的存在性,给出了这类算子在满足一定条件下的不动点定理,该定理推广了B.ERhodes的结果.

This paper discusses the existence of the fixed points of a class of nonlinear pseudo-nonexpansive operators-M-pseudo-nonexpansive operators,then it asserts the fixed point theorem for this type of operator under certain conditions, which extends B.E.Rhodes′ result.