作 者: ;
机构地区: 南昌大学理学院数学系
出 处: 《应用数学》 2012年第3期475-480,共6页
摘 要: 本文通过定义在Menger-PN的算子建立不同的边界条件,考虑半闭1-集压缩算子的不动点的存在性问题,得到了半闭1-集压缩算子的一些不动点定理.本文中所采用的方法与相关文献中的方法完全不同. In this paper,the existence of fixed points for the semi-closed 1-set contractive operators is investigated under different boundary conditions which are established by an operator defined on a Menger PN space. Meanwhile some fixed point theorems for semi-closed 1-set contractive operators are obtained. The methods in this work are completely different from the ones in many recent works.