On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions

I. D. Aranđelović; Reny George; Hüseyin Işık; Zoran D. Mitrović; V. R. Mišić

doi:10.2298/FIL2313387A

On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions

I. D. Aranđelović
, Reny George
, Hüseyin Işık
, Zoran D. Mitrović
, V. R. Mišić

Mathematics

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

Abstract

In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in the literature.

Original language	English
Pages (from-to)	4387-4393
Number of pages	7
Journal	Filomat
Volume	37
Issue number	13
DOIs	https://doi.org/10.2298/FIL2313387A
State	Published - 2023

Keywords

Cone metric space
Fixed point
Ishikava iteration process
Quasi-contraction

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10.2298/FIL2313387A

Cite this

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title = "On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions",

abstract = "In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in the literature.",

keywords = "Cone metric space, Fixed point, Ishikava iteration process, Quasi-contraction",

author = "Aran{\d}elovi{\'c}, \{I. D.\} and Reny George and H{\"u}seyin I{\c s}ık and Mitrovi{\'c}, \{Zoran D.\} and Mi{\v s}i{\'c}, \{V. R.\}",

note = "Publisher Copyright: {\textcopyright} Faculty of Sciences and Mathematics, University of Ni{\v s}, Serbia.",

year = "2023",

doi = "10.2298/FIL2313387A",

language = "English",

volume = "37",

pages = "4387--4393",

journal = "Filomat",

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publisher = "University of Nis",

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T1 - On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions

AU - Aranđelović, I. D.

AU - George, Reny

AU - Işık, Hüseyin

AU - Mitrović, Zoran D.

AU - Mišić, V. R.

N1 - Publisher Copyright: © Faculty of Sciences and Mathematics, University of Niš, Serbia.

PY - 2023

Y1 - 2023

N2 - In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in the literature.

AB - In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in the literature.

KW - Cone metric space

KW - Fixed point

KW - Ishikava iteration process

KW - Quasi-contraction

UR - https://www.scopus.com/pages/publications/85151755728

U2 - 10.2298/FIL2313387A

DO - 10.2298/FIL2313387A

M3 - Article

AN - SCOPUS:85151755728

SN - 0354-5180

VL - 37

SP - 4387

EP - 4393

JO - Filomat

JF - Filomat

IS - 13

ER -

On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions

Abstract

Keywords

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