Geodesic
Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces
Kragujevac Journal of Mathematics, Tome 29 (2006), p. 203

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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.
Classification : 47J25 47H06 47H10
Keywords: uniformly smooth Banach space, $Phi$-strongly accretive mapping, generalized Lipschitzian mapping , Ishikawa iterative process 
@article{KJM_2006_29_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 },
     publisher = {mathdoc},
     volume = {29},
     year = {2006},
     zbl = {1122.47058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_a19/}
}
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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), p. 203 . http://geodesic.mathdoc.fr/item/KJM_2006_29_a19/