Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces

被引:0
作者
Simin Homaeipour
Abdolrahman Razani
机构
[1] Imam Khomeini International University,Department of Mathematics, Faculty of Science
[2] Institute for Research in Fundamental Sciences,School of Mathematics
来源
Fixed Point Theory and Applications | / 2011卷
关键词
multi-valued mapping; relatively nonexpansive; fixed point; iterative sequence;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, an iterative sequence for relatively nonexpansive multi-valued mappings by using the notion of generalized projection is introduced, and then weak and strong convergence theorems are proved.
引用
收藏
相关论文
共 22 条
[1]  
Xu HK(1991)Inequalities in Banach spaces with applications Nonlinear Anal 16 1127-1138
[2]  
Matsushita S(2005)A strong convergence theorem for relatively nonexpansive mappings in a Banach space J Approx Theory 134 257-266
[3]  
Takahashi W(2002)Strong convergence of a proximal-type algorithm in a Banach space SIAM J Optim 13 938-945
[4]  
Kamimura S(2001)Asymptotic behavior of relatively nonexpansive operators in Banach spaces J Appl Anal 7 151-174
[5]  
Takahashi W(2003)Weak convergence of orbits of nonlinear operators in reflexive Banach spaces Numer Funct Anal Optim 24 489-508
[6]  
Butnariu D(1996)Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization Optimization 37 323-339
[7]  
Reich S(2004)Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces Fixed Point Theory Appl 2004 37-47
[8]  
Zaslavski AJ(2007)Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces Nonlinear Anal 66 2345-2354
[9]  
Butnariu D(2008)Strong convergence results for nonself multimaps in Banach spaces Proc Am Math Soc 136 539-548
[10]  
Reich S(2009)On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces Nonlinear Anal 71 838-844