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On a New Generalization of Banach Contraction Principle with Application

Author

Listed:
  • Hüseyin Işık

    (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam)

  • Babak Mohammadi

    (Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran)

  • Mohammad Reza Haddadi

    (Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran)

  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran)

Abstract

The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results.

Suggested Citation

  • Hüseyin Işık & Babak Mohammadi & Mohammad Reza Haddadi & Vahid Parvaneh, 2019. "On a New Generalization of Banach Contraction Principle with Application," Mathematics, MDPI, vol. 7(9), pages 1-8, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:862-:d:268321
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