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On Some New Fixed Point Results in Complete Extended b -Metric Spaces

Author

Listed:
  • Quanita Kiran

    (School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Nayab Alamgir

    (School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Nabil Mlaiki

    (Department of Mathematical Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Hassen Aydi

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

Abstract

In this paper, we specified a method that generalizes a number of fixed point results for single and multi-valued mappings in the structure of extended b -metric spaces. Our results extend several existing ones including the results of Aleksic et al. for single-valued mappings and the results of Nadler and Miculescu et al. for multi-valued mappings. Moreover, an example is given at the end to show the superiority of our results.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:476-:d:234274
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    References listed on IDEAS

    as
    1. Badr Alqahtani & Andreea Fulga & Erdal Karapınar, 2018. "Non-Unique Fixed Point Results in Extended B -Metric Space," Mathematics, MDPI, vol. 6(5), pages 1-11, May.
    2. Shyam Lal Singh & Swami Nath Mishra & Renu Chugh & Raj Kamal, 2012. "General Common Fixed Point Theorems and Applications," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, February.
    3. 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.
    4. Hassen Aydi & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Theorems for Various Classes of Cyclic Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, October.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

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