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A New Viscosity Cesàro Mean Approximation Method for a General System of Finite Variational Inequalities and Fixed Point Problems in Banach Spaces

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Transactions on Engineering Technologies

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 275))

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Abstract

We introduce the new strong convergence theorem by using the Cesàro mean approximation method and viscosity method with weak contraction for finding a common solution of fixed point problems for nonexpansive mappings and general system of finite variational inequalities for finite different inverse-strongly accretive operators in Banach spaces. Our results are extended and improved of some authors’ recent results of the literature works in involving this field.

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Acknowledgments

This research was supported by the Commission on Higher Education, the Thailand Research Fund and the Rajamangala University of Technology Lanna Tak (Grant no. MRG5580233).

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Authors and Affiliations

  1. Division of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak (RMTUL Tak), Tak, 63000, Thailand

    Phayap Katchang

  2. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, 10140, Thailand

    Poom Kumam

  3. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand

    Somyot Plubtieng

Authors
  1. Poom Kumam
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  2. Somyot Plubtieng
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  3. Phayap Katchang
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Corresponding author

Correspondence to Phayap Katchang .

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Editors and Affiliations

  1. Department of Multimedia Engineering College of Engineering, Mokpo National University, Chonnam, Korea, Republic of (South Korea)

    Gi-Chul Yang

  2. International Association of Engineers, Hong Kong, Hong Kong SAR

    Sio-Iong Ao

  3. Faculty of Information Sciences and Engineering, University of Canberra, Canberra, Aust Capital Terr, Australia

    Xu Huang

  4. Computer Sci. in the Graduate Division, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

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Kumam, P., Plubtieng, S., Katchang, P. (2014). A New Viscosity Cesàro Mean Approximation Method for a General System of Finite Variational Inequalities and Fixed Point Problems in Banach Spaces. In: Yang, GC., Ao, SI., Huang, X., Castillo, O. (eds) Transactions on Engineering Technologies. Lecture Notes in Electrical Engineering, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7684-5_29

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  • DOI: https://doi.org/10.1007/978-94-007-7684-5_29

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7683-8

  • Online ISBN: 978-94-007-7684-5

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