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Common fixed point theorems for contractive mappings satisfying \(\Phi\)-maps in \(G\)-metric spaces. (English) Zbl 1253.54042

Summary: We prove the existence of unique common fixed point theorems of a pair of weakly compatible mappings satisfying \(\Phi\)-maps in \(G\)-metric spaces. These results generalize well-known results in the literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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