一类扩张型弱交换映象的不动点定理

A CLASS OF COMMON FIXED POINT THEOREMS FOR WEAKLY COMMUTING MAPPINGS AND EXPANSION MAPPINGS

本文在扩张型弱交换映象下得出了较[2]中更广泛的不动点定理. 一有关定义、引理定义一设(X,d)是度量空间,S、I是X上的自映象,称S与I为弱交换的,如果 d(SIx,ISx)≤d(Ix,Sx) x∈X 显然,S与I可交换,则S与I弱交换;反之,不成立。见文[1]。

Recently, some fixed point theorems of common mappings were given by some Juthors (CF. 1—5). In this paper, we prove a class of new common fixed point theorems for weakly commuting mappings and expansion mappings.