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title

New Generalization of Darbo s Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application

Credit to Download: 1 | Page Numbers 11 | Abstract Views: 26
Year: 2020
COI code: JR_SCMA-17-2_010
Paper Language: English

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Authors New Generalization of Darbo s Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application

Hossein Monfared - Department of Mathematics, Bilehsavar Branch, Islamic Azad University, Bilehsavar, Iran.
  Mehdi Asadi - Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
  Ali Farajzadeh - Department of Mathematics, Razi University, Kermanshah, 67149, Iran.

Abstract:

In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings, as well. Our results  can be viewed as extension of the corresponding results in this area.  Moreover, some examples and an application to functional integral equations are given to support the obtained results.

Keywords:

Measure of non-compactness, Simulation functions, $alpha$-admissible mappings, Fixed point

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COI code: JR_SCMA-17-2_010

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Monfared, Hossein; Mehdi Asadi & Ali Farajzadeh, 2020, New Generalization of Darbo s Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application, Sahand Communications in Mathematical Analysis 17 (2), https://www.civilica.com/Paper-JR_SCMA-JR_SCMA-17-2_010.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Monfared, Hossein; Mehdi Asadi & Ali Farajzadeh, 2020)
Second and more: (Monfared; Asadi & Farajzadeh, 2020)
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