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PPF Dependence Fixed Point for Hybrid Rational and Suzuki-Edelstein Contractions in Stochastic Case with an Application

H. A. Hammad, R. A. Rashwan

Abstract



The aim of this article is to discuss some coincidence and common fixed point results with PPF dependence for hybrid rational and Suzuki-Edelstein contractions in stochastic case on a separable Banach space. Our results unify and extend the results of Sintunavarat and Kumam (Sintunavarat and Kumam, 2013), Bernfeld et al. (Bernfeld, Lakshmikantham and Reddy, 1977), Parvaneh et al. (Parvaneh, Hosseinzadeh, Hussain and Ćirić, 2016) and
others. As application, we find PPF dependent solution of a periodic boundary randomvalued problem.

Keywords


PPF dependent random fixed point, Suzuki-Edelstein type random contractive mappings, the Razumikhin class..

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