A fixed point theorem of Reich in \(G\)-Metric spaces

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DOI:

https://doi.org/10.4067/S0719-06462010000100008

Abstract

In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space (X, G) is symmetric, then the existence and uniqueness of these fixed point results follows from Reich theorems in usual metric space (X, dG), where (X, dG) the metric induced by the G-metric space (X, G).

Keywords

Metric space , generalized metric space , D-metric space , 2-metric space
  • Zead Mustafa The Hashemite University, Department of Mathematics, P.O. Box 150459, Zarqa 13115, Jordan.
  • Hamed Obiedat The Hashemite University, Department of Mathematics, P.O. Box 150459, Zarqa 13115, Jordan.
  • Pages: 83–93
  • Date Published: 2010-03-01
  • Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

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Published

2010-03-01

How to Cite

[1]
Z. Mustafa and H. Obiedat, “A fixed point theorem of Reich in \(G\)-Metric spaces”, CUBO, vol. 12, no. 1, pp. 83–93, Mar. 2010.

Issue

Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

Section

Articles

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