On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators

Isa Yildirim; Mujahid Abbas; Nazli Karaca

doi:10.22436/jnsa.009.06.27

On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators

Isa Yildirim
, Mujahid Abbas
, Nazli Karaca

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

2 Citations (Scopus)

Abstract

In this paper, we introduce a new iteration process and prove the convergence of this iteration process to a fixed point of contractive-like operators. We also present a data dependence result for such mappings. Our results unify and extend various results in the existing literature.

Original language	English
Pages (from-to)	3773-3786
Number of pages	14
Journal	Journal of Nonlinear Science and Applications
Volume	9
Issue number	6
DOIs	https://doi.org/10.22436/jnsa.009.06.27
Publication status	Published - 2016
Externally published	Yes

Keywords

Contractive-like operators
Convergence and data dependence
Fixed point

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.22436/jnsa.009.06.27

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title = "On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators",

abstract = "In this paper, we introduce a new iteration process and prove the convergence of this iteration process to a fixed point of contractive-like operators. We also present a data dependence result for such mappings. Our results unify and extend various results in the existing literature.",

keywords = "Contractive-like operators, Convergence and data dependence, Fixed point",

author = "Isa Yildirim and Mujahid Abbas and Nazli Karaca",

year = "2016",

doi = "10.22436/jnsa.009.06.27",

language = "English",

volume = "9",

pages = "3773--3786",

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TY - JOUR

T1 - On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators

AU - Yildirim, Isa

AU - Abbas, Mujahid

AU - Karaca, Nazli

PY - 2016

Y1 - 2016

N2 - In this paper, we introduce a new iteration process and prove the convergence of this iteration process to a fixed point of contractive-like operators. We also present a data dependence result for such mappings. Our results unify and extend various results in the existing literature.

AB - In this paper, we introduce a new iteration process and prove the convergence of this iteration process to a fixed point of contractive-like operators. We also present a data dependence result for such mappings. Our results unify and extend various results in the existing literature.

KW - Contractive-like operators

KW - Convergence and data dependence

KW - Fixed point

UR - https://www.scopus.com/pages/publications/84990041977

U2 - 10.22436/jnsa.009.06.27

DO - 10.22436/jnsa.009.06.27

M3 - Article

AN - SCOPUS:84990041977

SN - 2008-1898

VL - 9

SP - 3773

EP - 3786

JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

IS - 6

ER -

On the convergence and data dependence results for multistep Picard-Mann iteration process in the class of contractive-like operators

Abstract

Keywords

ASJC Scopus subject areas

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