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Rectangular Metric-Like Type Spaces and Related Fixed Points

Author

Listed:
  • N. Mlaiki
  • K. Abodayeh
  • H. Aydi
  • T. Abdeljawad
  • M. Abuloha

Abstract

In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.

Suggested Citation

  • N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
    • Handle: RePEc:hin:jjmath:3581768
    DOI: 10.1155/2018/3581768
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    Cited by:

    1. Hassen Aydi & Chi-Ming Chen & Erdal Karapınar, 2019. "Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance," Mathematics, MDPI, vol. 7(1), pages 1-7, January.
    2. Zoran D. Mitrović & Hassen Aydi & Nawab Hussain & Aiman Mukheimer, 2019. "Reich, Jungck, and Berinde Common Fixed Point Results on ℱ-Metric Spaces and an Application," Mathematics, MDPI, vol. 7(5), pages 1-10, April.
    3. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.
    4. Mujahid Abbas & Hira Iqbal & Manuel De la Sen & Khushdil Ahmad, 2021. "Approximation of Fixed Points of Multivalued Generalized ( α , β )-Nonexpansive Mappings in an Ordered CAT(0) Space," Mathematics, MDPI, vol. 9(16), pages 1-21, August.
    5. Vishnu Narayan Mishra & Luis Manuel Sánchez Ruiz & Pragati Gautam & Swapnil Verma, 2020. "Interpolative Reich–Rus–Ćirić and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results," Mathematics, MDPI, vol. 8(9), pages 1-11, September.
    6. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    7. Nabil Mlaiki & Mohammad Asim & Mohammad Imdad, 2020. "C *-Algebra Valued Partial b -Metric Spaces and Fixed Point Results with an Application," Mathematics, MDPI, vol. 8(8), pages 1-11, August.

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