Abstract
In this paper, it is shown that Mann-type iteration with errors converges strongly to the fixed point for nearly Lipschitz asymptotical generalized Φ-hemicontractive mappings in Banach spaces. And we also prove that the iteration converges strongly to the fixed point for nearly uniformly generalized Lipschitzian asymptotically generalized Φ-hemicontractive mapping in uniformly smooth Banach spaces.
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Zhang, J., Yu, Y., Liu, Y. (2012). The Convergence Theorems of Fixed Points for Nearly Uniformly L-Lipschitz Mappings. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34041-3_39
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DOI: https://doi.org/10.1007/978-3-642-34041-3_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34040-6
Online ISBN: 978-3-642-34041-3
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