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Class W-KKM (X,Y,Z), Almost Fixed Point Theorems and Fixed Point Theorems
类W-KKM (X,Y,Z), 几乎不动点定理和不动点定理

Keywords: Relatively weak $R$-subset,class ($W$-)KKM$(X,Y,Z)$,${\it \Phi}$-map,almost fixed point,coincidence point
相对弱$R$-子集
,类($W$-)KKM$(X,Y,Z)$,${\it,\Phi}$-映射,几乎不动点,重合点.

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Abstract:

The concepts of relatively weak $R$-subset and class ($W$-)KKM$(X,Y,Z)$ were introduced, an equivalent relation of relative KKM map and relatively weak $R$-subset and a property of $W$-KKM$(X,Y,Z)$ were given; and then two continuous selection theorem were given and from which, fixed point theorems and coincidence theorem were obtained; finally, existence theorems ofalmost fixed point, fixed point theorem and coincidence point theorem for a map with weak-KKM property were obtained on uniform topological spaces.

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