On a fixed point result of Amini-Harandi in strictly convex Banach spaces

被引：3

作者：

Dowling, P. N. ^{[1
]}

机构：

[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA

来源：

ACTA MATHEMATICA HUNGARICA | 2006年 / 112卷 / 1-2期

关键词：

fixed point; alternate convexically nonexpansive mapping; Kadec-Klee property;

D O I：

10.1007/s10474-006-0065-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Amini-Harandi proved that alternate convexically nonexpansive mappings on non-empty weakly compact convex subsets of strictly convex Banach spaces have fixed points. We prove that Amini-Harandi's result holds also in Banach spaces with the Kadec--Klee property and the result is true for a larger class of mappings. Moreover, we show that the Alspach mapping in L-1[0,1] is not a 2-alternate convexically nonexpansive mapping.

引用

页码：85 / 88

页数：4

共 50 条

[31] Perturbation Bounds for the Metric Projection of a Point onto a Linear Manifold in Reflexive Strictly Convex Banach Spaces
Cao, Jianbing
Jiao, Hongwei
FILOMAT, 2018, 32 (19) : 6829 - 6836
[32] Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces
Izhar Oppenheim
Mathematische Zeitschrift, 2014, 278 : 649 - 661
[33] A RANDOM FIXED POINT ITERATION FOR THREE RANDOM OPERATORS ON UNIFORMLY CONVEX BANACH SPACES
Binayak S.Choudhury
Analysis in Theory and Applications, 2003, (02) : 99 - 107
[34] Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces
Oppenheim, Izhar
MATHEMATISCHE ZEITSCHRIFT, 2014, 278 (3-4) : 649 - 661
[35] The fixed point property and normal structure for some B-convex Banach spaces
García-Falset, J
Llorens-Fuster, E
Mazcuñán-Navarro, EM
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2001, 63 (01) : 75 - 81
[36] A fixed point theorem for asymptotically nonexpansive type mappings in uniformly convex Banach spaces
Sankar Raj V.
Jamal Fathima S.
The Journal of Analysis, 2018, 26 (1) : 9 - 14
[37] Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Lau, Anthony To-Ming
Zhang, Yong
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2018, 17 (01) : 67 - 87
[38] On super fixed point property and super weak compactness of convex subsets in Banach spaces
Cheng, Lixin
Cheng, Qingjin
Zhang, Jichao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 428 (02) : 1209 - 1224
[39] ON THE COMMON FIXED POINTS OF DOUBLE SEQUENCES OF TWO-PARAMETER NONEXPANSIVE SEMIGROUPS IN STRICTLY CONVEX BANACH SPACES
Abazari, Rasoul
Niknam, Asadollah
REVISTA DE LA UNION MATEMATICA ARGENTINA, 2022, 63 (02): : 523 - 530
[40] Dynamics of non-expansive maps on strictly convex Banach spaces
Lemmens, Bas
van Gaans, Onno
ISRAEL JOURNAL OF MATHEMATICS, 2009, 171 (01) : 425 - 442

← 1 2 3 4 5 →