Fixed point sets of set-valued mappings

被引：0
作者：
Parunyou Chanthorn
Phichet Chaoha
机构：
[1] Chulalongkorn University,Department of Mathematics and Computer Science, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
fixed point set; set-valued mapping; 47H04; 47H09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present new results regarding fixed point sets of various set-valued mappings using the concept of fixed point iteration schemes and the newly defined concept of fixed point resolutions. In particular, we prove that the fixed point sets of certain nonexpansive set-valued mappings are contractible.
引用
收藏
相关论文
共 24 条
[1]  
Bruck RE(1973)Properties of fixed-point sets of nonexpansive mappings in Banach spaces Trans. Am. Math. Soc. 179 251-262
[2]  
Benavides TD(2001)Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings Proc. Am. Math. Soc. 129 3549-3557
[3]  
Ramirez PL(2007)Virtually nonexpansive maps and their convergence sets J. Math. Anal. Appl. 326 390-397
[4]  
Chaoha P(2009)Virtually stable maps and their fixed point sets J. Math. Anal. Appl. 359 536-542
[5]  
Chaoha P(2012)Fixed point sets through iteration schemes J. Math. Anal. Appl. 386 273-277
[6]  
Atiponrat W(2012)On Kirk’s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces Nonlinear Anal. 75 459-468
[7]  
Chaoha P(2011)On multi-valued weak contraction mappings J. Math. Res. 3 151-156
[8]  
Chanthorn P(1969)Multi-valued contraction mappings Pac. J. Math. 30 475-488
[9]  
Dhompongsa S(2009)Convergence of iterative algorithms for multivalued mappings in Banach spaces Nonlinear Anal. 70 1547-1556
[10]  
Kaewkhao A(2004)The metric projection and its applications to solving variational inequalities in Banach spaces Fixed Point Theory 5 285-298
123