Simulative Suzuki-Gerghaty type contraction with $\mathcal{C}$-class functions and applications

Abdullah Eqal Al-Mazrooei; Azhar Hussain; Jamshaid Ahmad; Muhammad Ishfaq

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Simulative Suzuki-Gerghaty type contraction with $\mathcal{C}$-class functions and applications

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arxiv 1810.09969 v1 pith:LP5CCEQ2 submitted 2018-10-23 math.FA

Abdullah Eqal Al-Mazrooei , Azhar Hussain , Muhammad Ishfaq , Jamshaid Ahmad This is my paper · ORCID

classification math.FA

keywords classexistencefunctionsgivenmathcalprovesuzuki-gerghatytype

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abstract

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

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