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Open AccessArticle

On Pata–Suzuki-Type Contractions

Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, Çankaya University, Etimesgut, Ankara 06790, Turkey
Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur 522 502, Andhra Pradesh, India
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 389;
Received: 5 January 2020 / Revised: 2 February 2020 / Accepted: 6 March 2020 / Published: 10 March 2020
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
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. View Full-Text
Keywords: simulation function; Pata–Suzuki Ƶ-contraction; Ƶ-contraction; C-condition simulation function; Pata–Suzuki Ƶ-contraction; Ƶ-contraction; C-condition
MDPI and ACS Style

Karapınar, E.; Hima Bindu, V.M.L. On Pata–Suzuki-Type Contractions. Mathematics 2020, 8, 389.

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