Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces
Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1
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Let $E$ be a real uniformly smooth Banach space, $T:E\rightarrow E$ be a generalized Lipschitzian and $\Phi$-strongly accretive mapping. It is shown that under suitable conditions the Ishikawa iterative process converges strongly to the unique solution of the equation $Tx=f$. A related result deals with approximation of the unique fixed point of a generalized Lipschitzian and $\Phi$-strongly pseudo-contractive mapping.
@article{KJM_2006_29_1_a19,
author = {Xue Zhiqun and Wang Zhiming},
title = {Ishikawa iterative sequence for the generalized {Lipschitzian} and {Phi-strongly} accretive mappings in {Banach} spaces},
journal = {Kragujevac Journal of Mathematics},
pages = {203 - 213},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2006},
zbl = {1122.47058},
url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a19/}
}
TY - JOUR AU - Xue Zhiqun AU - Wang Zhiming TI - Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces JO - Kragujevac Journal of Mathematics PY - 2006 SP - 203 EP - 213 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a19/ ID - KJM_2006_29_1_a19 ER -
%0 Journal Article %A Xue Zhiqun %A Wang Zhiming %T Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces %J Kragujevac Journal of Mathematics %D 2006 %P 203 - 213 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a19/ %F KJM_2006_29_1_a19
Xue Zhiqun; Wang Zhiming. Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces. Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a19/