scholarly journals Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration

2012 ◽  
Vol 40 (12) ◽  
pp. 1-9
Author(s):  
Ashish Negi ◽  
Shashank Lingwal ◽  
Yashwant Singh Chauhan
Keyword(s):  
Complex Dynamics ◽  
Ishikawa Iteration

scholarly journals A Modified Mixed Ishikawa Iteration for Common Fixed Points of Two Asymptotically Quasi Pseudocontractive Type Non-Self-Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Yuanheng Wang ◽  
Huimin Shi
Keyword(s):  
Strong Convergence ◽  
Fixed Points ◽  
Iterative Scheme ◽  
Common Fixed Points ◽  
Iterative Sequence ◽  
Convergence Theorems ◽  
Ishikawa Iteration ◽  
Ishikawa Iterative Sequence

A new modified mixed Ishikawa iterative sequence with error for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings is introduced. By the flexible use of the iterative scheme and a new lemma, some strong convergence theorems are proved under suitable conditions. The results in this paper improve and generalize some existing results.

scholarly journals On the equivalence of Mann and Ishikawa iteration methods

2003 ◽  
Vol 2003 (7) ◽  
pp. 451-459 ◽  
Author(s):  
B. E. Rhoades ◽  
Stefan M. Soltuz
Keyword(s):  
Ishikawa Iteration ◽  
Iteration Methods

We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions.

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