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Study on Pata E-contractions

delete2020-10-01
delete7
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OA
AI
E
Erdal Karapınar
A
Andreea Fulga
H
Hassen Aydi *
DOI：10.1186/s13662-020-02992-4delete
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Abstract

Abstract

En 中文
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.
Keywords:
Fixed point
Pata type contraction
E-contraction
Fractional integral equation
Orbital admissible mapping
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Journal

Advances in Difference Equations cover
Advances in Difference Equations
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3.1
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