zbMATH — the first resource for mathematics

Some fixed point theorem for mapping on complete \(G\)-metric spaces. (English) Zbl 1148.54336
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 \((X,G)\).
Reviewer: Reviewer (Berlin)

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
Full Text: DOI EuDML
[1] doi:10.1002/mana.19630260109 · Zbl 0117.16003 · doi:10.1002/mana.19630260109
[12] doi:10.2307/2040075 · Zbl 0291.54056 · doi:10.2307/2040075
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.