On a Fixed Point Theorem of Gregu
نویسندگان
چکیده
We censider two selfmaps T and of a closed convex subset C of a Bar.ach space X which are weakly commuting in X, i.e. !IT x I xll < llx Txll for any x in X, and satisfy the inequality ’ITx Ty!l _< alllx lyll + (I a) max {llTx Ixll, llTy lyll} for all x,) ir. C, where 0 < a I. It is proved that if is linear and non-expansive in C and such that IC contains TC, then T and have a unique common fixed point in C.
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تاریخ انتشار 2004