【摘要】 本文建立了满足条件h(F_nx,F_ny)≤?(d(x,F_nx),d(y,F_ny),d(x,))(n—1,2,……)(1)的连续集值映照列F_n:x→P_fb(x)的不动点定理,它类似于文献[1]中所叙述的压缩型集值映照列的不动点定理、我们还得到一个形如(1)的单值映照族的公共不动点定理.更多还原

【Abstract】 In this paper,we have established the fixed point theorem for a continuous set valued mapping sequence F_n:X→P_fb（X）（n=1.2……）,which satisfies the following condition:h(F_nx,F_ng≤φ（d（x,F_nx）,d（y,F_ny）,d（x,g））（n=1,2,…）It is found that this theorem is similar to the fixed point theorem for the contraction type set valued mapping sequence as shown in Ref.1.Finally,we have also obtained a common fixed point theorem for the mapping family,which has the same form as Eq.（1）.更多还原