Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups

Somyot Plubtieng; Kasamsuk Ungchittrakool

doi:10.1016/j.na.2006.09.023

Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups

Nonlinear Analysis ◽

10.1016/j.na.2006.09.023 ◽

2007 ◽

Vol 67 (7) ◽

pp. 2306-2315 ◽

Cited By ~ 15

Author(s):

Somyot Plubtieng ◽

Kasamsuk Ungchittrakool

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Ishikawa Iteration ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Weak and strong convergence of the Ishikawa iteration process with errors for two asymptotically nonexpansive mappings

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.03.008 ◽

2006 ◽

Vol 181 (2) ◽

pp. 1394-1401 ◽

Cited By ~ 8

Author(s):

Jae Ug Jeong ◽

Soo Hwan Kim

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Iteration Process ◽

Weak And Strong Convergence ◽

Ishikawa Iteration ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive ◽

Ishikawa Iteration Process

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Weak and strong convergence theorems of modified Ishikawa iteration for an infinitely countable family of pointwise asymptotically nonexpansive mappings in Hilbert spaces

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2011.03.002 ◽

2011 ◽

Vol 17 (2) ◽

pp. 153-169

Author(s):

Javad Balooee

Keyword(s):

Strong Convergence ◽

Hilbert Spaces ◽

Nonexpansive Mappings ◽

Countable Family ◽

Weak And Strong Convergence ◽

Convergence Theorems ◽

Ishikawa Iteration ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Strong convergence theorems by a hybrid extragradient-like approximation method for asymptotically nonexpansive mappings in the intermediate sense in Hilbert spaces

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2011-119 ◽

2011 ◽

Vol 2011 (1) ◽

pp. 119

Author(s):

Eskandar Naraghirad ◽

Ngai-Ching Wong ◽

Jen-Chih Yao

Keyword(s):

Strong Convergence ◽

Hilbert Spaces ◽

Approximation Method ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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On weak and strong convergence theorems for a finite family of nonself I-asymptotically nonexpansive mappings

Mathematica Moravica ◽

10.5937/matmor1502049g ◽

2015 ◽

Vol 19 (2) ◽

pp. 49-64 ◽

Cited By ~ 3

Author(s):

Birol Gündüz ◽

Sezgin Akbulut

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Finite Family ◽

Weak And Strong Convergence ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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WEAK AND STRONG CONVERGENCE CRITERIA OF MODIFIED NOOR ITERATIONS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2007.44.3.493 ◽

2007 ◽

Vol 44 (3) ◽

pp. 493-506

Author(s):

Shrabani Banerjee ◽

Binayak Samadder Choudhury

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Convergence Criteria ◽

Weak And Strong Convergence ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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STRONG CONVERGENCE OF MODIFIED HYBRID ALGORITHM FOR QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2009.24.4.539 ◽

2009 ◽

Vol 24 (4) ◽

pp. 539-551 ◽

Cited By ~ 3

Author(s):

Huancheng Zhang ◽

Yongfu Su

Keyword(s):

Strong Convergence ◽

Hybrid Algorithm ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Strong Convergence of Modified Iteration Processes for Relatively Asymptotically Nonexpansive Mappings

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500406068 ◽

2010 ◽

Vol 14 (6) ◽

pp. 2163-2180 ◽

Cited By ~ 6

Author(s):

Tae-Hwa Kim ◽

Wataru Takahashi

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive ◽

Iteration Processes

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Strong convergence theorems for variational inequality problems and quasi- $${\phi}$$ -asymptotically nonexpansive mappings

Journal of Global Optimization ◽

10.1007/s10898-011-9744-8 ◽

2011 ◽

Vol 54 (1) ◽

pp. 101-116 ◽

Cited By ~ 5

Author(s):

H. Zegeye ◽

N. Shahzad

Keyword(s):

Variational Inequality ◽

Strong Convergence ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Weak and strong convergence theorems of three step iteration process with errors for nonself-asymptotically nonexpansive mappings

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.05.006 ◽

2010 ◽

Vol 52 (5-6) ◽

pp. 772-780 ◽

Cited By ~ 6

Author(s):

Liping Yang ◽

Xiangsheng Xie

Keyword(s):

Strong Convergence ◽

Nonexpansive Mappings ◽

Iteration Process ◽

Weak And Strong Convergence ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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On Reich’s strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2006.03.025 ◽

2007 ◽

Vol 66 (11) ◽

pp. 2364-2374 ◽

Cited By ~ 13

Author(s):

S.S. Chang ◽

H.W. Joseph Lee ◽

Chi Kin Chan

Keyword(s):

Strong Convergence ◽

Banach Spaces ◽

Convergence Theorem ◽

Nonexpansive Mappings ◽

Strong Convergence Theorem ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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