Geodesic
Some convergence results for fixed points of hemicontractive operators in some Banach spaces
Kragujevac Journal of Mathematics, Tome 31 (2008) no. 1

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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. 
@article{KJM_2008_31_1_a9,
     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 - 129},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2008},
     zbl = {1199.47283},
     url = {http://geodesic.mathdoc.fr/item/KJM_2008_31_1_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) no. 1. http://geodesic.mathdoc.fr/item/KJM_2008_31_1_a9/