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Study on Pata E-contractions

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2020

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Springer

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Matematik
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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.

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Aydi, Hassen/0000-0003-4606-7211

Keywords

Fixed Point, Pata Type Contraction, E-Contraction, Fractional Integral Equation, Orbital Admissible Mapping

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Karapınar, Erdal; Fulga, Andreea; Aydi, Hassen (2020). "Study on Pata E-contractions", Advances in Difference Equations, Vol. 2020, No. 1.

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2020

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1

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