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On Bilateral Contractions

Author

Listed:
  • Chi-Ming Chen

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

  • Gholamreza Heidary Joonaghany

    (Department of Mathematics, Arak Branch, Islamic Azad University, Arak 38361-1-9131, Iran)

  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Farshid Khojasteh

    (Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak 38361-1-9131, Iran)

Abstract

In this manuscript, we introduce a new type of contraction, bilateral contraction which merges two significant approaches in the fixed point theory: Caristi type contractions and Jaggi type contractions. The principal aim of the main result is to enrich the literature by combining the techniques of the mentioned two celebrated results that belong to Jaggi and Caristi. We consider an example to indicate the validity and genuine nature of the main result.

Suggested Citation

  • Chi-Ming Chen & Gholamreza Heidary Joonaghany & Erdal Karapınar & Farshid Khojasteh, 2019. "On Bilateral Contractions," Mathematics, MDPI, vol. 7(6), pages 1-7, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:538-:d:239225
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    Cited by:

    1. Maha Noorwali & Mohammed Shehu Shagari, 2023. "On Two-Point Boundary Value Problems and Fractional Differential Equations via New Quasi-Contractions," Mathematics, MDPI, vol. 11(11), pages 1-19, May.

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