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A New Hybrid Iterative Method for Solving a Mixed Equilibrium Problem and a Fixed Point Problem for Quasi-Bregman Strictly Pseudocontractive Mappings

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Data Science for Financial Econometrics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 898))

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Abstract

In this paper, we introduce and study a new hybrid iterative method for finding a common solution of a mixed equilibrium problem and a fixed point problem for an infinitely countable family of closed quasi-Bregman strictly pseudocontractive mappings in reflexive Banach spaces. We prove that the sequences generated by the hybrid iterative algorithm converge strongly to a common solution of these problems.

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Acknowledgements

This project was supported by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT.

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Authors and Affiliations

  1. KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, 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

    Kanikar Muangchoo & Poom Kumam

  2. Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea

    Yeol Je Cho

  3. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Yeol Je Cho

  4. Rajamangala University of Technology Phra Nakhon, 399 Samsen Rd., Vachira Phayaban, Dusit, Bangkok, 10300, Thailand

    Sakulbuth Ekvittayaniphon

Authors
  1. Kanikar Muangchoo
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  2. Poom Kumam
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  3. Yeol Je Cho
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  4. Sakulbuth Ekvittayaniphon
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Corresponding author

Correspondence to Poom Kumam .

Editor information

Editors and Affiliations

  1. Institute for Research Science and Banking Technology, Banking University Ho Chi Minh City, Ho Chi Minh, Vietnam

    Nguyen Ngoc Thach

  2. Department of Computer Science, Institute for Research Science and Banking Technology, El Paso, TX, USA

    Vladik Kreinovich

  3. Banking University Ho Chi Minh City, Ho Chi Minh City, Vietnam

    Nguyen Duc Trung

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Muangchoo, K., Kumam, P., Cho, Y.J., Ekvittayaniphon, S. (2021). A New Hybrid Iterative Method for Solving a Mixed Equilibrium Problem and a Fixed Point Problem for Quasi-Bregman Strictly Pseudocontractive Mappings. In: Ngoc Thach, N., Kreinovich, V., Trung, N.D. (eds) Data Science for Financial Econometrics. Studies in Computational Intelligence, vol 898. Springer, Cham. https://doi.org/10.1007/978-3-030-48853-6_30

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