Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 5(1), pp. 8 - 16
DOI: 10.13189/ujcmj.2017.050102
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Random Fixed Point Theorem for Weakly Compatible Mappings under Implicit Relation 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 establish a unique common random fixed point theorem in cone random metric spaces for four weakly compatible mappings by using an implicit relation. Some corollaries of this theorem for two and three random weakly compatible mappings are obtained. Some examples are given to support our generalization. Our results presented in this paper extend and improve several recent results in the setting of cone random metric spaces.

KEYWORDS
Random Fixed Point, Cone Random Metric Spaces, Random Weakly Compatible Mappings, Implicit Relation

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R. A. Rashwan , H. A. Hammad , "Random Fixed Point Theorem for Weakly Compatible Mappings under Implicit Relation in Cone Random Metric Spaces," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 5, No. 1, pp. 8 - 16, 2017. DOI: 10.13189/ujcmj.2017.050102.

(b). APA Format:
R. A. Rashwan , H. A. Hammad (2017). Random Fixed Point Theorem for Weakly Compatible Mappings under Implicit Relation in Cone Random Metric Spaces. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 5(1), 8 - 16. DOI: 10.13189/ujcmj.2017.050102.