凝聚映象的不动点及算子方程Ax+Bx+Cx=x的可解性

Fixed point theorems for condensing mappings and the solvability of equation Ax+Bx+Cx=x

按文[1]中方法得到几个对凝聚映象的不动点定理,还扩充文[2]中对于算子方程Ax+B x=x到Ax+B x+Cx=x可解性的某些结论.主要结果是定理2、定理3与定理5.

In this paper, we get several fixed point theorems for condensing mapping by the method in [1], and we extend some results in [2] for the solvability of operator equation Ax ＋Bx=x to Ax＋Bx＋Cx=x. The main results are Theorem 2 and Theorem 3, and Theorem 5.