Fixed point results for a new contraction mapping with integral and fractional applications

Hasanen A. Hammad; Hassen Aydi; Choonkil Park

doi:10.3934/math.2022765

Fixed point results for a new contraction mapping with integral and fractional applications

Hasanen A. Hammad
, Hassen Aydi^*
, Choonkil Park^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this manuscript is to present some fixed point results for a Λ-Ćirić mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.

Original language	English
Pages (from-to)	13856-13873
Number of pages	18
Journal	AIMS Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3934/math.2022765
Publication status	Published - 2022
Externally published	Yes

Keywords

Fredholm integral equation
fixed point technique
fractional differential equation
non-triangular metric space

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10.3934/math.2022765

Cite this

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title = "Fixed point results for a new contraction mapping with integral and fractional applications",

abstract = "The purpose of this manuscript is to present some fixed point results for a Λ-{\'C}iri{\'c} mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.",

keywords = "Fredholm integral equation, fixed point technique, fractional differential equation, non-triangular metric space",

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N2 - The purpose of this manuscript is to present some fixed point results for a Λ-Ćirić mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.

AB - The purpose of this manuscript is to present some fixed point results for a Λ-Ćirić mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.

KW - Fredholm integral equation

KW - fixed point technique

KW - fractional differential equation

KW - non-triangular metric space

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Fixed point results for a new contraction mapping with integral and fractional applications

Abstract

Keywords

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