Fixed point results on complete G-metric spaces

Zead Mustafa; Mona Khandagji; Wasfi Shatanawi

doi:10.1556/sscmath.48.2011.3.1170

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 48: Issue 3

Fixed point results on complete G-metric spaces

Authors:

Zead Mustafa

Zead Mustafa The Hashemite University Department of Mathematics P.O. 330127 Zarqa 13115 Jordan

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Mona Khandagji

Mona Khandagji The Hashemite University Department of Mathematics P.O. 330127 Zarqa 13115 Jordan

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, and

Wasfi Shatanawi

Wasfi Shatanawi The Hashemite University Department of Mathematics P.O. 330127 Zarqa 13115 Jordan

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Pages:: 304–319

Online Publication Date:: 12 Aug 2011

Publication Date:: 01 Sep 2011

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.48.2011.3.1170

Keywords:: Primary 47H10; Secondary 46B20; Metric space; generalized metric space; 2-metric space

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In this paper several fixed point theorems for a class of mappings defined on a complete G-metric space are proved. In the same time we show that if the G-metric space (X, G) is symmetric then the existence and uniqueness of these fixed point results follows from the Hardy-Rogers theorem in the induced usual metric space (X, d_G). We also prove fixed point results for mapping on a G-metric space (X, G) by using the Hardy-Rogers theorem where (X, G) need not be symmetric.

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Studia Scientiarum Mathematicarum Hungarica

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Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
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Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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