Next Article in Journal
Asymptotic Stability of the Solutions of Neutral Linear Fractional System with Nonlinear Perturbation
Previous Article in Journal
On Istrăţescu Type Contractions in b-Metric Spaces
Previous Article in Special Issue
Ekeland Variational Principle in the Variable Exponent Sequence Spaces p(·)
Open AccessArticle

On Pata–Suzuki-Type Contractions

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
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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop