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Common Fixed Point Theorems for Weakly Generalized Contractions and Applications on G-metric Spaces

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Beyond Traditional Probabilistic Methods in Economics (ECONVN 2019)

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

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Abstract

In this paper, we introduce weakly generalized contraction conditions on G-metric space and prove some common fixed point theorems for the proposed contractions. The results in this paper differ from the recent corresponding results given by some authors in literature.

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Acknowledgements

First author would like to thank the research professional development project under scholarship of Rajabhat Rajanagarindra University (RRU) financial support. Second author was supported by Muban Chombueng Rajabhat University. Third author thank for Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand, and guidance of the fifth author, Gyeongsang National University, Jinju 660-701, Korea.

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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

    Pasakorn Yordsorn, Piyachat Borisut & Poom Kumam

  2. 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

    Pasakorn Yordsorn, Piyachat Borisut & Poom Kumam

  3. Department of Mathematics, Faculty of Science and Technology, Muban Chombueng Rajabhat University, 46 M.3, Chombueng, 70150, Ratchaburi, Thailand

    Phumin Sumalai

  4. Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju, 660-701, Korea

    Yeol Je Cho

  5. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Yeol Je Cho

Authors
  1. Pasakorn Yordsorn
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  2. Phumin Sumalai
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  3. Piyachat Borisut
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  4. Poom Kumam
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  5. Yeol Je Cho
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Corresponding author

Correspondence to Poom Kumam .

Editor information

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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Yordsorn, P., Sumalai, P., Borisut, P., Kumam, P., Cho, Y.J. (2019). Common Fixed Point Theorems for Weakly Generalized Contractions and Applications on G-metric Spaces. 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_18

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