scholarly journals Strong convergence theorems for uniformly L-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Zhiqun Xue ◽  
Guiwen Lv
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Convergence Theorems ◽  
Pseudocontractive Mappings ◽  
Asymptotically Pseudocontractive Mappings

scholarly journals Strong Convergence Theorems for a Common Fixed Point of a Family of Asymptoticallyk-Strict Pseudocontractive Mappings

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
H. Zegeye ◽  
N. Shahzad
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Common Fixed Point ◽  
Banach Spaces ◽  
Iterative Process ◽  
Finite Family ◽  
Important Class ◽  
Convergence Theorems ◽  
Nonlinear Operators ◽  
Pseudocontractive Mappings

We provide an iterative process which converges strongly to a common fixed point of finite family of asymptoticallyk-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

scholarly journals Fixed point iterations of three asymptotically pseudocontractive mappings

2013 ◽  
Vol 46 (3) ◽  
Author(s):  
Arif Rafiq
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Banach Spaces ◽  
Iterative Scheme ◽  
Independent Interest ◽  
Pseudocontractive Mappings ◽  
Asymptotically Pseudocontractive Mappings ◽  
Fixed Point Iterations

AbstractIn this paper, we establish the strong convergence for a modified three-step iterative scheme with errors associated with three mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest. Remark at the end simplifies many known results.

scholarly journals On the Convergence of Iterative Processes for Generalized Strongly Asymptotically -Pseudocontractive Mappings in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Vittorio Colao
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Iterative Processes ◽  
Pseudocontractive Mappings ◽  
Uniformly Smooth ◽  
Asymptotically Pseudocontractive Mappings ◽  
Uniformly Smooth Banach Spaces

We prove the equivalence and the strong convergence of iterative processes involving generalized strongly asymptotically -pseudocontractive mappings in uniformly smooth Banach spaces.

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