Geodesic
Some convergence results for fixed points of hemicontractive operators in some Banach spaces
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 111

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In this manuscript, we establish strong convergence results for the improved iteration methods introduced by Owojori and Imoru [7], to fixed points of hemicontractive operators. Our results in this paper are extensions of the results of: Ishikawa [4], Deng and Ding [3], Chidume [1], Chidume and Osilike [2], Owojori and Imoru [6], Qihou [8], Liu [5] and Xu [10] from the Mann and Ishikawa iteration methods, (with and without errors), to more general iteration methods and from Lipschitz or continuous pseudocontractive operators to slightly more general continuous hemicontractive operators.
Classification : 47H06 47H10 47H15
Keywords: Hemicontrctive operator, Strong convergence, Hilbert spacs, Improved Three-Step Iteration procedures 
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     author = {Olusegun O. Owojori},
     title = {Some convergence results for fixed points of hemicontractive operators in some {Banach} spaces},
     journal = {Kragujevac Journal of Mathematics},
     pages = {111 },
     publisher = {mathdoc},
     volume = {31},
     year = {2008},
     zbl = {1199.47283},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2008_31_a9/}
}
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Olusegun O. Owojori. Some convergence results for fixed points of hemicontractive operators in some Banach spaces. Kragujevac Journal of Mathematics, Tome 31 (2008), p. 111 . http://geodesic.mathdoc.fr/item/KJM_2008_31_a9/