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Simulative Suzuki-Gerghaty Type Contraction With $\mathscr{C}$ -Class Functions and Applications

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The purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the $\mathscr {C}$ -class functions and prove the… Click to show full abstract

The purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the $\mathscr {C}$ -class functions and prove the existence of the fixed point result. An example is given to show the validity of our results. Moreover, we prove the existence of solution of a nonlinear Hammerstein integral equation.

Keywords: class functions; gerghaty type; suzuki gerghaty

Journal Title: IEEE Access
Year Published: 2019

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