scholarly journals Anderson Acceleration for Fixed-Point Iterations

2011 ◽  
Vol 49 (4) ◽  
pp. 1715-1735 ◽  
Author(s):  
Homer F. Walker ◽  
Peng Ni
2020 ◽  
Vol 30 (4) ◽  
pp. 3170-3197
Author(s):  
Junzi Zhang ◽  
Brendan O'Donoghue ◽  
Stephen Boyd

2011 ◽  
Vol 393-395 ◽  
pp. 543-545
Author(s):  
Hong Jun Li ◽  
Yong Fu Su

Ljubomir Ciric, Arif Rafiq, Nenad Cakic, Jeong Sheok Umed [ Implicit Mann fixed point iterations for pseudo-contractive mappings, Applied Mathematics Letters 22 (2009) 581-584] introduced and investigated a modified Mann implicit iteration process for continuous hemi-contractive map. They proved the relatively convergence theorem. However, the content of mann theorem is fuzzy. In this paper, we will give some comments . Let be a Banach space and be a nonempty subset of . A mapping is called hemi-contractive (see [1]) if and In [1], the authors introduced and investigated a modified Mann implicit iteration process for continuous hemi-contractive map. They proved the following convergence theorem.


2020 ◽  
Vol 9 (3) ◽  
pp. 681-690
Author(s):  
Khairul Saleh ◽  
Hafiz Fukhar-ud-din

Abstract In this work, we propose an iterative scheme to approach common fixed point(s) of a finite family of generalized multi-valued nonexpansive mappings in a CAT(0) space. We establish and prove convergence theorems for the algorithm. The results are new and interesting in the theory of $$CAT\left( 0\right) $$ C A T 0 spaces and are the analogues of corresponding ones in uniformly convex Banach spaces and Hilbert spaces.


2015 ◽  
Vol 2 (1) ◽  
pp. 1021623
Author(s):  
Renu Chugh ◽  
Preety Malik ◽  
Vivek Kumar

1991 ◽  
Vol 157 (1) ◽  
pp. 112-126 ◽  
Author(s):  
David Borwein ◽  
Jonathan Borwein

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