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The Modified Multi-step Iteration Process for Pairwise Generalized Nonexpansive Mappings in CAT(0) Spaces

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Econometrics for Financial Applications (ECONVN 2018)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 760))

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Abstract

In this paper, we modified multi-step procedure to find approximation fixed point of pairwise generalized nonexpansive mappings in CAT(0) spaces. We also prove both strong and \(\varDelta \)-convergence theorems for such a mapping with under mild conditions.

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Acknowledgements

The first author would like to thank the Research Professional Development Project Under the Science Achievement Scholarship of Thailand (SAST) for financial support. Also, this project was supported by the Theoretical and Computation Science (TaCS) Center under Computational and Applied Science for Smart Innovation Cluster (CLASSIC), Faculty of Science, KMUTT.

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Authors and Affiliations

  1. KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand

    Nuttapol Pakkaranang, Phanuphan Kewdee, Poom Kumam & Piyachat Borisut

  2. KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand

    Poom Kumam

Authors
  1. Nuttapol Pakkaranang
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  2. Phanuphan Kewdee
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  3. Poom Kumam
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  4. Piyachat Borisut
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Corresponding author

Correspondence to Poom Kumam .

Editor information

Editors and Affiliations

  1. Banking University HCMC, Ho Chi Minh City, Vietnam

    Ly H. Anh

  2. Banking University HCMC, Ho Chi Minh City, Vietnam

    Le Si Dong

  3. Computer Science Department, University of Texas at El Paso, El Paso, Texas, USA

    Vladik Kreinovich

  4. Banking University HCMC, Ho Chi Minh City, Vietnam

    Nguyen Ngoc Thach

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Pakkaranang, N., Kewdee, P., Kumam, P., Borisut, P. (2018). The Modified Multi-step Iteration Process for Pairwise Generalized Nonexpansive Mappings in CAT(0) Spaces. In: Anh, L., Dong, L., Kreinovich, V., Thach, N. (eds) Econometrics for Financial Applications. ECONVN 2018. Studies in Computational Intelligence, vol 760. Springer, Cham. https://doi.org/10.1007/978-3-319-73150-6_31

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  • DOI: https://doi.org/10.1007/978-3-319-73150-6_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73149-0

  • Online ISBN: 978-3-319-73150-6

  • eBook Packages: EngineeringEngineering (R0)

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