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Article

On Pata–Suzuki-Type Contractions

by
Erdal Karapınar
1,2,* and
V. M. L. Hima Bindu
3
1
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
2
Department of Mathematics, Çankaya University, Etimesgut, Ankara 06790, Turkey
3
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; https://doi.org/10.3390/math8030389
Submission 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)

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 Ƶ-contraction; Ƶ-contraction; C-condition simulation function; Pata–Suzuki Ƶ-contraction; Ƶ-contraction; C-condition

Share and Cite

MDPI and ACS Style

Karapınar, E.; Hima Bindu, V.M.L. On Pata–Suzuki-Type Contractions. Mathematics 2020, 8, 389. https://doi.org/10.3390/math8030389

AMA Style

Karapınar E, Hima Bindu VML. On Pata–Suzuki-Type Contractions. Mathematics. 2020; 8(3):389. https://doi.org/10.3390/math8030389

Chicago/Turabian Style

Karapınar, Erdal, and V. M. L. Hima Bindu. 2020. "On Pata–Suzuki-Type Contractions" Mathematics 8, no. 3: 389. https://doi.org/10.3390/math8030389

APA Style

Karapınar, E., & Hima Bindu, V. M. L. (2020). On Pata–Suzuki-Type Contractions. Mathematics, 8(3), 389. https://doi.org/10.3390/math8030389

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