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Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings

Author

Listed:
  • Hüseyin Işık

    (Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, 49250 Muş, Turkey)

  • Babak Mohammadi

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

  • Choonkil Park

    (Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea)

  • Vahid Parvaneh

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

Abstract

We prove some common fixed point and endpoint theorems for a countable infinite family of multi-valued mappings, as well as Allahyari et al. (2015) did for self-mappings. An example and an application to a system of integral equations are given to show the usability of the results.

Suggested Citation

  • Hüseyin Işık & Babak Mohammadi & Choonkil Park & Vahid Parvaneh, 2020. "Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:292-:d:323299
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