Study on Pata E-Contractions
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
In this paper, we introduce the notion of an alpha-(zeta) over tilde -E-Pata contraction that combines well-known concepts, such as the Pata contraction, the E-contraction and the simulation function. Existence and uniqueness of a fixed point of such mappings are investigated in the setting of a complete metric space. An example is stated to indicate the validity of the observed result. At the end, we give an application on the solution of nonlinear fractional differential equations.
Description
Aydi, Hassen/0000-0003-4606-7211
ORCID
Keywords
Fixed Point, Pata Type Contraction, E-Contraction, Fractional Integral Equation, Orbital Admissible Mapping, Orbital admissible mapping, Theory and Applications of Fractional Differential Equations, Contraction mapping, Mathematical analysis, Quantum mechanics, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, Internal medicine, Applied Mathematics, Physics, Pure mathematics, Partial differential equation, Fixed point, Fractional integral equation, Generalized Contractions, Pata type contraction, Physical Sciences, Nonlinear system, Contraction (grammar), Medicine, Geometry and Topology, Uniqueness, Metric space, E-contraction, Mathematics, Ordinary differential equation, \(E\)-contraction, Pata-type contraction, Fixed-point theorems, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), Applications of operator theory to differential and integral equations, fractional integral equation, fixed point, orbital admissible mapping, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Karapınar, Erdal; Fulga, Andreea; Aydi, Hassen (2020). "Study on Pata E-contractions", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
17
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
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Citations
CrossRef : 4
Scopus : 14
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Mendeley Readers : 2
SCOPUS™ Citations
15
checked on Feb 23, 2026
Web of Science™ Citations
7
checked on Feb 23, 2026
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