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Fixed Point Theorems of Almost Generalized Contractive Mappings in b -Metric Spaces and an Application to Integral Equation

Author

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  • N. Seshagiri Rao

    (Department of Mathematics & Statistics, School of Applied Science & Humanities, Vignan’s Foundation for Science, Technology & Research, Vadlamudi, Guntur 522213, India)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina)

  • Dania Santina

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

  • Nabil Mlaiki

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

Abstract

In this study, we have new fixed point results for weak contraction mappings in complete and partially ordered b -metric spaces. Our findings expand and generalize the results of Jachymski and Mituku et al and many more results in the literature as well. To illustrate our work, we present an application on the existence and uniqueness of a nonlinear quadratic integral problem solution. Moreover, an open problem is presented to enable the scope for future research in this area.

Suggested Citation

  • N. Seshagiri Rao & Zoran D. Mitrović & Dania Santina & Nabil Mlaiki, 2023. "Fixed Point Theorems of Almost Generalized Contractive Mappings in b -Metric Spaces and an Application to Integral Equation," Mathematics, MDPI, vol. 11(11), pages 1-19, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2580-:d:1164045
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    References listed on IDEAS

    as
    1. Nayab Alamgir & Quanita Kiran & Hassen Aydi & Aiman Mukheimer, 2019. "A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    2. Mian Bahadur Zada & Muhammad Sarwar & Thabet Abdeljawad & Aiman Mukheimer, 2021. "Coupled Fixed Point Results in Banach Spaces with Applications," Mathematics, MDPI, vol. 9(18), pages 1-12, September.
    Full references (including those not matched with items on IDEAS)

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