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Rational Type Inequality with Applications to Voltera–Hammerstein Nonlinear Integral Equations

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Abstract The aim of this work is to establish fixed point theorems under rational type contractions in the framework of complex-valued metric spaces. These theorems extend and generalize some prominent… Click to show full abstract

Abstract The aim of this work is to establish fixed point theorems under rational type contractions in the framework of complex-valued metric spaces. These theorems extend and generalize some prominent results in the present literature. Furthermore, as an application the existence result is given for the system of Volterra–Hammerstein non-linear integral equations.

Keywords: inequality applications; type inequality; hammerstein; integral equations; rational type

Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2020

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