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Zbl 1148.54336
Mustafa, Zead; Obiedat, Hamed; Awawdeh, Fadi
Some fixed point theorem for mapping on complete $G$-metric spaces. (English)
[J] Fixed Point Theory Appl. 2008, Article ID 189870, 12 p. (2008). ISSN 1687-1812/e

Summary: We prove some fixed point results for mappings satisfying sufficient conditions on complete $G$-metric spaces, also we show that if the $G$-metric space $(X,G)$ is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in $(X,d_{G})$, where $(X,d_{G})$ is the usual metric space which is defined from the $G$-metric space $(X,G)$.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

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