期刊文献+

Banach空间中半闭1-集压缩算子的不动点定理及其应用(英文)

Fixed Point Theorems for Semi-closed 1-set Contractive Operators in Banach Spaces and Applications
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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.
作者 尹建东
机构地区 南昌大学数学系
出处 《应用数学》 CSCD 北大核心 2012年第3期475-480,共6页 Mathematica Applicata
基金 Supported by the Foundation from the Education Department of Jiangxi(GJJ11295) the Natural Science Foundation of Jiangxi Province(20114BAB201006)
关键词 拓扑度 不动点 实BANACH空间 Topological degree Fixed point Real Banach space
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