Geodesic
Fixed point theorems in normed linear spaces using a generalized $Z$-type condition
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 207

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In this paper, a strong convergence theorem is proved for a generalized Mann type iteration scheme in normed linear spaces. We also consider two, two-step iteration schemes and prove the strong convergence of these iterations in normed linear spaces. We use a generalized $Z$-type condition to prove our results. Our results extend and improve upon, among others, the corresponding results proved by Berinde [1], Yildirim et al. [12] and Bosede [4].
Classification : 47H09 47H10
Keywords: Strong convergence, common fixed point, normed linear spaces 
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     title = {Fixed point theorems in normed linear spaces using a generalized $Z$-type condition},
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Priya Raphael; Shaini Pulickakunnel. Fixed point theorems in normed linear spaces using a generalized $Z$-type condition. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 207 . http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a3/