Gerghaty type results via simulation and $\mathcal{C}$-class functions with application

Azhar Hussain; Muhammad Ishfaq; Stojan Radenovi\'c; Tanzeela Kanwal

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Gerghaty type results via simulation and $\mathcal{C}$-class functions with application

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arxiv 1810.10868 v1 pith:R2TAIHRA submitted 2018-10-23 math.FA

Azhar Hussain , Muhammad Ishfaq , Tanzeela Kanwal , Stojan Radenović This is my paper · ORCID

classification math.FA

keywords resultsclassexistencefunctionsgerghatygivenmathcalsimulation

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abstract

In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with $\mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.

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