Some convergence results for iterative sequences of Prešić type and applications

Mohammad Saeed Khan; Maher Berzig; Bessem Samet

doi:10.1186/1687-1847-2012-38

Some convergence results for iterative sequences of Prešić type and applications

Mohammad Saeed Khan, Maher Berzig, Bessem Samet^*

^*Corresponding author for this work

Mathematics

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

39 Citations (Scopus)

Abstract

In this article, we study the convergence of iterative sequences of Prešić type involving new general classes of operators in the setting of metric spaces. As application, we derive some convergence results for a class of nonlinear matrix difference equations. Numerical experiments are also presented to illustrate the convergence algorithms.

Original language	English
Article number	38
Journal	Advances in Difference Equations
Volume	2012
DOIs	https://doi.org/10.1186/1687-1847-2012-38
Publication status	Published - 2012

Keywords

Convergence
Difference equation
Fixed point
Iterative sequence
Matrix

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/1687-1847-2012-38

Cite this

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abstract = "In this article, we study the convergence of iterative sequences of Pre{\v s}i{\'c} type involving new general classes of operators in the setting of metric spaces. As application, we derive some convergence results for a class of nonlinear matrix difference equations. Numerical experiments are also presented to illustrate the convergence algorithms.",

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AU - Samet, Bessem

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AB - In this article, we study the convergence of iterative sequences of Prešić type involving new general classes of operators in the setting of metric spaces. As application, we derive some convergence results for a class of nonlinear matrix difference equations. Numerical experiments are also presented to illustrate the convergence algorithms.

KW - Convergence

KW - Difference equation

KW - Fixed point

KW - Iterative sequence

KW - Matrix

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JO - Advances in Difference Equations

JF - Advances in Difference Equations

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Some convergence results for iterative sequences of Prešić type and applications

Abstract

Keywords

ASJC Scopus subject areas

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