【幂积拓扑空间上的集值映射的性质及点值映射的不动点定理】.pdf
浙江大学研究生学位论文用纸 P ABSTRACT Su De kuang This paperisclivieleelmtotwoseetions.Insection 1:wesbuely set-valueel map on PocX)weextenel semeproperties fsingle-valueclmapontupologiial spaee Po(X)anelstuely prperties special set-velueelmep onPo(X)mcluceel by Single 一valueelmap.
浙江大学研究生学位论文用纸P anel all x.y∈ X.wheve w(t)=t;(i-t) P+ci-t)t?Thenauniformly Smrddommnyryr了drh T:X.Xwith auniform Lipsehitrcunstunt<(1+c)hayeel Ipoiut nX.fes iv)we extenelfixelpointthervems Sumesengle -valueel(map mm givefixeel a)we extenl S.J.Dahers work,t.e.
浙江大学研究生学位论文用纸 P c) we extenelSehruelers wurk.i.e.Therem b:Let E beacunWexsubset alinear nrm spae X.set -valueel mop.x∈E,Flx) is α closeel cmwexsubset of X.then Fhas fiveel poiut iu E.