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International Econometric Conference of Vietnam

ECONVN 2019: Beyond Traditional Probabilistic Methods in Economics pp 262–270Cite as

Fixed Point Theorems of Contractive Mappings in \(\mathbf {A}\)-cone Metric Spaces over Banach Algebras

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 809))

Abstract

In this study, we prove some fixed point theorems for self-mappings satisfying certain contractive principles in \(\mathbf {A}\)-cone metric spaces over Banach algebras. Our results improve and extend some main results in [8].

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References

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Acknowledgments

This project was supported by the Theoretical and Computational Science (TaCS) Center under Computational and Applied Science for Smart Innovation Research Cluster (CLASSIC), Faculty of Science, KMUTT.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey

    Isa Yildirim

  2. 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), Bangkok, Thailand

    Wudthichai Onsod & Poom Kumam

  3. 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), Bangkok, Thailand

    Poom Kumam

Authors
  1. Isa Yildirim
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  2. Wudthichai Onsod
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  3. Poom Kumam
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Contributions

All authors read and approved the final manuscript.

Corresponding author

Correspondence to Poom Kumam .

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Editors and Affiliations

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

    Vladik Kreinovich

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

    Nguyen Ngoc Thach

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

    Nguyen Duc Trung

  4. TTC Group, Ho Chi Minh City, Vietnam

    Dang Van Thanh

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The authors declare that they have no competing interests.

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Cite this paper

Yildirim, I., Onsod, W., Kumam, P. (2019). Fixed Point Theorems of Contractive Mappings in \(\mathbf {A}\)-cone Metric Spaces over Banach Algebras. In: Kreinovich, V., Thach, N., Trung, N., Van Thanh, D. (eds) Beyond Traditional Probabilistic Methods in Economics. ECONVN 2019. Studies in Computational Intelligence, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-030-04200-4_20

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