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Application of some fixed-point theorems in orthogonal extended \(S\)-metric spaces. (English) Zbl 1477.54135

Summary: In this study, we obtain some coincidence point theorems for weakly \(O\)-\(\alpha \)-admissible contractive mappings in an orthogonal extended \(S\)-metric space. An example and an application are provided to illustrate the usability of the obtained results. Our results generalize the results of several studies from metric and \(S\)-metric frameworks to the setting of orthogonal extended \(S\)-metric spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54E40 Special maps on metric spaces
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