摘要
本文讨论与压缩尺度函数有关的映象的公共不动点问题．将张石生关于映象族的公共不动点定理进行了改进，去掉了其映象的连续性，修改了各映象满足的代数式子．推广了孙永平关于映象族的公共不动点定理的主要结果．并把所得结果应用到讨论非线性Ｖｏｌｔｅｒｒａ积分方程解的存在唯一性上．
The common fixed point problem for the mappings with contractive gauge function is discussed Zhang Shizheng's common fixed point theorem for the sequence of mappings is improved, the continuity of mappings is removed,the algebraic expression of mappings is revised, and, the main result of Shen Yongpin,is generalized about the common fixed point theorem,The result is ulitized to study the existence and uniqueness of the solutions of non linear Volterra integral equations in Banach space.
出处
《广东工业大学学报》
CAS
1995年第1期21-26,共6页
Journal of Guangdong University of Technology
基金
国家自然科学资金
