On Pata–Suzuki-Type Contractions

Erdal Karapınar and V. M. L. Hima Bindu
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Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
V. M. L. Hima Bindu: Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur 522 502, Andhra Pradesh, India

Mathematics, 2020, vol. 8, issue 3, 1-13

Abstract: In this manuscript, we introduce two notions, Pata–Suzuki Z -contraction and Pata Z -contraction for the pair of self-mapping g , f in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.

Keywords: simulation function; Pata–Suzuki ? -contraction; ? -contraction; C -condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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