Some convergence results for fixed points of hemicontractive operators in some Banach spaces
Kragujevac Journal of Mathematics, Tome 31 (2008) no. 1
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},
year = {2008},
volume = {31},
number = {1},
zbl = {1199.47283},
url = {http://geodesic.mathdoc.fr/item/KJM_2008_31_1_a9/}
}
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/