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Best Proximity Point Theorems for Generalized \(\alpha \)-\(\psi \)-Proximal Contractions

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Book cover 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 introduce a new generalization of multi-valued \(\alpha \)-\(\psi \)-proximal contraction and prove some best proximity point theorems for such mappings on complete metric spaces. An example is also constructed to show the generality of our results.

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Acknowledgements

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

Author information

Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

    Muhammad Usman Ali

  2. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

    Arslan Hojat Ansari

  3. KMUTT-Fixed 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

    Konrawut Khammahawong & Poom Kumam

  4. 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

    Konrawut Khammahawong & Poom Kumam

Authors
  1. Muhammad Usman Ali
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  2. Arslan Hojat Ansari
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  3. Konrawut Khammahawong
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  4. Poom Kumam
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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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Ali, M.U., Ansari, A.H., Khammahawong, K., Kumam, P. (2018). Best Proximity Point Theorems for Generalized \(\alpha \)-\(\psi \)-Proximal Contractions. 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_27

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  • DOI: https://doi.org/10.1007/978-3-319-73150-6_27

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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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