定点非扩张凝聚映象的不动点及应用

Fixed Point of Nonexpansive Condensing Mapping about a Constant Point and Their Application

目的是研究定点非扩张凝聚映象的不动点的存在问题.然后用所得的新结果去研究非线性的 和Hammerstein积分方程的非平凡解和解的存在性,得到了新的可解定理.

The purpose of this paper is to study existence problem of fixed point for a class of nonexpansive condensing mapping about a constant point. Furthermore, we apply the new results to study existence of nontrivial solutions and solutions for nonlinear and Hammerstein integral equation, some new resoluble theorems are given.