On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces
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摘要: 证明了p一致凸Banach空间中Lipschitz映象对的公共不动点的存在性。利用这个结果,在Hilbert空间,Lp空间,Hardy空间Hp,Sobolev空间Hr,p,1<p<∞,r≥0,也建立了这些映象的若干公共不动点定理。
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关键词:
- 渐近正则性 /
- 公共不动点 /
- Lipschitz映象 /
- p一致凸Banach空间 /
- 弱ω-极限集
Abstract: The existence of common fixed points for a pair of Lipschitzian mappings in Banach Spaces is proved.By using this result, some common fixed point theorems are established for these mappings in Hilbert spaces, in Lpspaces, in Hardy spaces Hp, and in Sobolev spaces Hr,p, for 1< p< +∞ and r≥0. -
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