[0,1]上带参数光滑自映射不动点的图论性质及其应用(英文)  

The graph properties of the fixed points of smooth self-mapping on with a parameter and their applications

作　　者：刘成仕[1] 

机构地区：[1]大庆石油学院数学系,黑龙江大庆163000

出　　处：《纯粹数学与应用数学》2003年第3期286-290,共5页Pure and Applied Mathematics

摘　　要：设f:I×I是光滑的,f=f(x,y),I=[0,1],y为参数,本文证明f的不动点组成的图有连通分枝.作为应用,给出了二维Brouwer不动点定理的新证明.这是迄今为止最直接的证明.The graph properties of the fixed points of a continuous selfmapping on unit closed interval with a parameter were studied. The existence of some kind of connected branch was shown. By this result, a new proof of two dimensional Brouwers fixed point theorem was given.

关 键 词：不动点 梯形图 费曼图 BROUWER不动点定理 

分 类 号：O177.91[理学—数学]