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Nadler and Kannan Type Set Valued Mappings in M -Metric Spaces and an Application

Author

Listed:
  • Pradip R. Patle

    (Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India)

  • Deepesh Kumar Patel

    (Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India)

  • Hassen Aydi

    (Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Dhananjay Gopal

    (Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat 395007, Gujarat, India)

  • Nabil Mlaiki

    (Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia)

Abstract

This article intends to initiate the study of Pompeiu–Hausdorff distance induced by an M -metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces. Moreover, the discussion is supported with the aid of competent examples and a result on homotopy. This approach improves the current state of art in fixed point theory.

Suggested Citation

  • Pradip R. Patle & Deepesh Kumar Patel & Hassen Aydi & Dhananjay Gopal & Nabil Mlaiki, 2019. "Nadler and Kannan Type Set Valued Mappings in M -Metric Spaces and an Application," Mathematics, MDPI, vol. 7(4), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:373-:d:225576
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    References listed on IDEAS

    as
    1. Wasfi Shatanawi & Hemant Kumar Nashine & Nedal Tahat, 2012. "Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-10, June.
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    Cited by:

    1. Quanita Kiran & Nayab Alamgir & Nabil Mlaiki & Hassen Aydi, 2019. "On Some New Fixed Point Results in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-17, May.

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