PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F -Contraction in the Razumikhin Class with an Application

Hasanen A. Hammad and Manuel De la Sen
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Hasanen A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Manuel De la Sen: Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain

Mathematics, 2019, vol. 7, issue 1, 1-16

Abstract: In this paper, a new multi-valued generalized F -contraction mapping is given. Using it, the existence of PPF-dependent fixed point for such mappings in the Razumikhin class is obtained. Moreover, an application for nonlinear integral equations with delay is presented here to illustrate the usability of the obtained results.

Keywords: PPF-dependent fixed point; multi-valued generalized F-contraction; Razumikhin class; nonlinear integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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