On Pata–Suzuki-Type Contractions

Obaid Alqahtani, Venigalla Madhulatha Himabindu and Erdal Karapınar
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Obaid Alqahtani: Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
Venigalla Madhulatha Himabindu: Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur, Andhra Pradesh 522502, India
Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Mathematics, 2019, vol. 7, issue 8, 1-11

Abstract: In this paper, we aim to obtain fixed-point results by merging the interesting fixed-point theorem of Pata and Suzuki in the framework of complete metric space and to extend these results by involving admissible mapping. After introducing two new contractions, we investigate the existence of a (common) fixed point in these new settings. In addition, we shall consider an integral equation as an application of obtained results.

Keywords: pata type contraction; Suzuki type contraction; C-condition; orbital admissible mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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