scholarly journals Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups

2014 ◽  
Vol 04 (06) ◽  
pp. 244-252
Author(s):  
Hongbo Liu ◽  
Yi Li
Keyword(s):  
Fixed Point ◽  
Iterative Algorithm ◽  
Convergence Theorem ◽  
Equilibrium Problems ◽  
Fixed Point Problems ◽  
Nonexpansive Semigroups ◽  
Asymptotically Nonexpansive

scholarly journals Iterative Algorithm andΔ-Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
J. F. Tang ◽  
S. S. Chang ◽  
H. W. Joseph Lee ◽  
C. K. Chan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Iterative Algorithm ◽  
Convergence Theorem ◽  
Nonexpansive Mappings ◽  
Convergence Theorems ◽  
Demiclosed Principle ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings

The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove aΔ-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature.

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