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Convergence theorems for continuous functions on an arbitrary interval

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Abstract

In this paper, we introduce a new iterative scheme for finding a fixed points of continuous functions on an arbitrary interval. The convergence theorems are also established. Further, the numerical examples comparing with Mann, Ishikawa and Noor iterations are demonstrated. Main results generalize and unify the corresponding ones announced in the literature.

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Acknowledgments

The first author was supported by the Thailand Research Fund, the Commission on Higher Education, and University of Phayao under Grant MRG5580016.

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Authors and Affiliations

  1. School of Science, University of Phayao, Phayao, 56000, Thailand

    Prasit Cholamjiak & Nattawut Pholasa

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  1. Prasit Cholamjiak
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  2. Nattawut Pholasa
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Correspondence to Prasit Cholamjiak.

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Cholamjiak, P., Pholasa, N. Convergence theorems for continuous functions on an arbitrary interval. Rend. Circ. Mat. Palermo 62, 253–260 (2013). https://doi.org/10.1007/s12215-013-0121-y

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  • DOI: https://doi.org/10.1007/s12215-013-0121-y

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