Open Access
2014 Fixed Point Theorems in Quaternion-Valued Metric Spaces
Ahmed El-Sayed Ahmed, Saleh Omran, Abdalla J. Asad
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/258985


The aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four self-maps satisfying a general contraction condition.


Download Citation

Ahmed El-Sayed Ahmed. Saleh Omran. Abdalla J. Asad. "Fixed Point Theorems in Quaternion-Valued Metric Spaces." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022019
MathSciNet: MR3193495
Digital Object Identifier: 10.1155/2014/258985

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top