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arXiv · 1810.10868

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

Azhar Hussain·Muhammad Ishfaq·Tanzeela Kanwal·Stojan Radenović
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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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Azhar Hussain, Muhammad Ishfaq, Tanzeela Kanwal, Stojan Radenović. 2018-10-23. Gerghaty type results via simulation and $\mathcal{C}$-class functions with application. https://arxiv.org/abs/1810.10868

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