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Browsing by Author "Khan, Mohammad S."

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    ON THE INTERPOLATIVE (phi, psi)-TYPE Z-CONTRACTION
    (2021) Karapınar, Erdal; Singh, Y. Mahendra; Karapınar, Erdal; 19184; Matematik
    In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.
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    Citation - WoS: 19
    Citation - Scopus: 27
    On the Interpolative (Φ, Ψ)-Type Z-Contraction
    (Univ Politehnica Bucharest, Sci Bull, 2021) Khan, Mohammad S.; Singh, Y. Mahendra; Karapinar, Erdal
    In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.