Fixed point theorems for nonexpansive mappings on nonconvex sets in uced banach spaces

Wei Shih Dlu, Young Y.E. Huang, Chi Lin Yen

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction. Furthermore, if (T i) iεI is any compatible family of strongly nonexpansive self-mappings on such a C and the graphs of T i, iεI, have a nonempty intersection, then T i, iεI, have a common fixed point in C:

原文英語
頁(從 - 到)251-257
頁數7
期刊International Journal of Mathematics and Mathematical Sciences
31
發行號4
DOIs
出版狀態已發佈 - 2002
對外發佈

ASJC Scopus subject areas

  • 數學(雜項)

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