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A Weak Contractive Condition and Some Fixed Point Theorems

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

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Abstract

Fixed point theorems for weak- \(\left( \psi ,\alpha ,\beta \right) \)- contractive mappings have been introduced and investigated for different kinds of metric spaces. The paper first discusses a particular condition and then a weak contractive condition generalizing existing such conditions is defined. Our primary aim is to investigate the Banach, Kannan and Chatterjea’s fixed point theorems in complete metric spaces satisfying the new weak contractive condition and their applications. In the sequel, several auxiliary results are investigated and also incorporated sufficient number of examples in suitable places to justify certain claims.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Engineering, Şırnak University, 73000, Şırnak, Turkey

    Mehmet Kir

  2. Department of Mathematics, Gauhati University, Guwahati, 781014, India

    Hemen Dutta

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

    Arslan Hojat Ansari

  4. KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi, Bangkok, 10140, Thailand

    Poom Kumam

  5. KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok, 10140, Thailand

    Poom Kumam

Authors
  1. Mehmet Kir
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  2. Hemen Dutta
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  3. Arslan Hojat Ansari
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  4. Poom Kumam
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Corresponding author

Correspondence to Hemen Dutta .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Haldia Institute of Technology, Haldia, West Bengal, India

    Dipak Kumar Jana

  3. Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  4. Haldia Institute of Technology, Haldia, India

    Arif Ahmed

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Kir, M., Dutta, H., Ansari, A.H., Kumam, P. (2020). A Weak Contractive Condition and Some Fixed Point Theorems. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_63

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