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International Econometric Conference of Vietnam

ECONVN 2018: Econometrics for Financial Applications pp 369–380Cite as

An \((\alpha ,\vartheta )\)-admissibility and Theorems for Fixed Points of Self-maps

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

Abstract

We introduce \((\alpha ,\vartheta )\)-admissibility and an \((\varUpsilon ,\wp )\)-integral-type contraction with applications to new fixed point theorems for the admissible and continuous mapping \(F: X \rightarrow X\) on a complete metric space (X, d). For the application, an interesting example is added which demonstrate 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 tank the Research Professional Development Project Under the Science Achievement Scholarship of Thailand (SAST) for financial support.

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Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, P.O. Box 25000, Khybar Pakhtunkhwa, Pakistan

    Aziz Khan

  2. Department of Mathematics, University of Malakand, P.O. Box 18000, Khybar Pakhtunkhwa, Pakistan

    Kamal Shah

  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

    Poom Kumam & Wudthichai Onsod

  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

    Poom Kumam & Wudthichai Onsod

Authors
  1. Aziz Khan
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  2. Kamal Shah
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  3. Poom Kumam
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  4. Wudthichai Onsod
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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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Khan, A., Shah, K., Kumam, P., Onsod, W. (2018). An \((\alpha ,\vartheta )\)-admissibility and Theorems for Fixed Points of Self-maps. 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_30

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  • DOI: https://doi.org/10.1007/978-3-319-73150-6_30

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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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