Random Ishikawa Iterative Sequence with Applications

2005 ◽  
Vol 23 (1) ◽  
pp. 69-77 ◽  
Author(s):  
S.S. Chang ◽  
Y.J. Cho ◽  
J.K. Kim ◽  
H.Y. Zhou
Keyword(s):  
Iterative Sequence ◽  
Ishikawa Iterative Sequence

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 Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces

2004 ◽  
Vol 2004 (33) ◽  
pp. 1771-1775 ◽  
Author(s):  
Yongjin Li
Keyword(s):  
Banach Spaces ◽  
Iterative Sequence ◽  
Ishikawa Iterative Sequence

The Ishikawa iterative sequences with errors are studied for Lipschitzian strongly pseudocontractive operators in arbitrary real Banach spaces; some well-known results of Chidume (1998) and Zeng (2001) are generalized.

scholarly journals Iterative approximation of fixed point forΦ-hemicontractive mapping without Lipschitz assumption

2005 ◽  
Vol 2005 (17) ◽  
pp. 2711-2718
Author(s):  
Xue Zhiqun
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Convex Subset ◽  
Real Banach Space ◽  
Unique Fixed Point ◽  
Nonempty Closed Convex Subset ◽  
Iterative Sequence ◽  
Iterative Approximation ◽  
Ishikawa Iterative Sequence ◽  
Uniformly Continuous

LetEbe an arbitrary real Banach space and letKbe a nonempty closed convex subset ofEsuch thatK+K⊂K. Assume thatT:K→Kis a uniformly continuous andΦ-hemicontractive mapping. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique fixed point ofT.

scholarly journals Convergence theorems of a family of uniformly (L, α)-Lipschitz asymptotically quasi-nonexpansive type mappings

2010 ◽  
Vol 43 (4) ◽  
Author(s):  
Gurucharan Singh Saluja
Keyword(s):  
Iterative Sequence ◽  
Convergence Theorems ◽  
Ishikawa Iterative Sequence

AbstractIn this paper, we study the convergence of the Ishikawa iterative sequence of rank-

scholarly journals Strong Convergence of a Modified Ishikawa Iterative Sequence for Asymptotically Quasi-Pseudo-Contractive-Type Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Liuhong Li ◽  
Yuanheng Wang
Keyword(s):  
Banach Space ◽  
Nonexpansive Mapping ◽  
Strong Convergence ◽  
Real Banach Space ◽  
Iterative Sequence ◽  
Convergence Problem ◽  
Type Mapping ◽  
Ishikawa Iterative Sequence ◽  
Asymptotically Nonexpansive ◽  
Contractive Type

The purpose of this paper is to investigate the strong convergence problem of a modified mixed Ishikawa iterative sequence with errors for approximating the fixed points of an asymptotically nonexpansive mapping in the intermediate sense and an asymptotically quasi-pseudo-contractive-type mapping in an arbitrary real Banach space. The results here improve and extend the corresponding results reported by some other authors recently.

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