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

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

doi:10.1155/S0161171202107113

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
卷	31
發行號	4
DOIs	https://doi.org/10.1155/S0161171202107113
出版狀態	已發佈 - 2002
對外發佈	是

ASJC Scopus subject areas

數學（雜項）

存取文件

10.1155/S0161171202107113

其它文件與鏈接

Link to publication in Scopus

引用此

@article{0893c9dfaf6541a8b568c6fe86a04e28,

title = "Fixed point theorems for nonexpansive mappings on nonconvex sets in uced banach spaces",

abstract = "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:",

author = "Dlu, \{Wei Shih\} and Huang, \{Young Y.E.\} and Yen, \{Chi Lin\}",

year = "2002",

doi = "10.1155/S0161171202107113",

language = "English",

volume = "31",

pages = "251--257",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "John Wiley and Sons Ltd",

number = "4",

}

TY - JOUR

T1 - Fixed point theorems for nonexpansive mappings on nonconvex sets in uced banach spaces

AU - Dlu, Wei Shih

AU - Huang, Young Y.E.

AU - Yen, Chi Lin

PY - 2002

Y1 - 2002

N2 - 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:

AB - 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:

UR - https://www.scopus.com/pages/publications/17844368089

UR - https://www.scopus.com/pages/publications/17844368089#tab=citedBy

U2 - 10.1155/S0161171202107113

DO - 10.1155/S0161171202107113

M3 - Article

AN - SCOPUS:17844368089

SN - 0161-1712

VL - 31

SP - 251

EP - 257

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 4

ER -

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

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此