Cilt:70 Sayı:02 (2021)

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Browsing Cilt:70 Sayı:02 (2021) by Author "Khantwal, Deepak"

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    Fixed point theorems to generalize FR- contraction mappings with application to nonlinear matrix equations
    (Ankara Üniversitesi, 2021) Khantwal, Deepak; Other; Other
    In the present paper, we introduce the notion of generalize FR-contraction and establish some fixed point results for such mappings, which extend and generalize the result of Alam and Imdad (J. Fixed Point Theory & Appl., 17(4) (2015), 693-702), Sawangsup et al. (J. Fixed Point Theory, 2016 (2016), 1-15) and many others. Our results reveal that the assumption of M-closedness of underlying binary relation is not necessary condition for existence of fixed point in relational metric spaces. We also derive some N-order fixed point theorems from our main results. As an application of our main result, we find a solution of a certain class of nonlinear matrix equations.