Picard-Jungck Operator for a Pair of Mappings and Simulation Type Functions

Sumit Chandok, Aiman Mukheimer, Azhar Hussain and Ljiljana Paunović
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Sumit Chandok: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India
Aiman Mukheimer: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Azhar Hussain: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Ljiljana Paunović: Teacher Education School in Prizren-Leposavić, University of Priština, Leposavić 43500, Serbia

Mathematics, 2019, vol. 7, issue 5, 1-8

Abstract: In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on complete metric spaces by taking into account of the C G -simulation function. Also, some new results for the existence of such operators for a pair of self mappings in the setting of metric spaces are obtained. Some nontrivial examples are presented to show the usability of the results.

Keywords: point of coincidence; Picard-Jungck operators; weakly compatible mappings; ??-simulation function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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