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Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces

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Abstract

The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Thaksin University Phatthalung Campus, Phatthalung, 93110, Thailand

    S. Imnang

  2. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    S. Suantai

Authors
  1. S. Imnang
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  2. S. Suantai
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Correspondence to S. Suantai.

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Submitted by D.Kh. Mushtari

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Imnang, S., Suantai, S. Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces. Lobachevskii J Math 31, 18–26 (2010). https://doi.org/10.1134/S199508021001004X

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  • DOI: https://doi.org/10.1134/S199508021001004X

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