Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

Mujahid Abbas; Abdul Latif; Yusuf I. Suleiman

doi:10.1186/s13663-016-0552-1

Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

Mujahid Abbas
, Abdul Latif
, Yusuf I. Suleiman

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

11 Citations (Scopus)

Abstract

In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.

Original language	English
Article number	61
Pages (from-to)	1-9
Number of pages	9
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13663-016-0552-1
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

cyclic contractions
fixed point
Meer-Keeler functions
R-contractions
simulation functions

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-016-0552-1

Cite this

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abstract = "In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.",

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AU - Latif, Abdul

AU - Suleiman, Yusuf I.

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AB - In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.

KW - cyclic contractions

KW - fixed point

KW - Meer-Keeler functions

KW - R-contractions

KW - simulation functions

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DO - 10.1186/s13663-016-0552-1

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Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

Abstract

Keywords

ASJC Scopus subject areas

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