Journals Information
Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 4(4), pp. 67 - 74
DOI: 10.13189/ujcmj.2016.040403
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A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces
R. A. Rashwan 1,*, H. A. Hammad 2
1 Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
2 Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
ABSTRACT
In this paper, we prove a unique common random fixed point theorem in the framework of cone random metric spaces for four weakly random compatible mappings under strict contractive condition. Some corollaries of this theorem for three and two weakly random compatible mappings and for one random mapping are derived. Two examples to justify our theorem are given. Our results extend some previous work related to cone random metric spaces from the current existing literature.
KEYWORDS
Common Random Fixed Point, Cone Random Metric Spaces, Weakly Random Compatible Mappings
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R. A. Rashwan , H. A. Hammad , "A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 4, No. 4, pp. 67 - 74, 2016. DOI: 10.13189/ujcmj.2016.040403.
(b). APA Format:
R. A. Rashwan , H. A. Hammad (2016). A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 4(4), 67 - 74. DOI: 10.13189/ujcmj.2016.040403.