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Partial \(S\)-metric spaces and coincidence points. (English) Zbl 1491.54045

Summary: In this paper, the concept partial \(S\)-metric space is introduced as a generalization of \(S\)-metric space. We prove certain coincidence point theorems in partial \(S\)-metric spaces. The results we obtain generalize many known results in fixed point theory. Also, some examples show the effectiveness of this approach.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
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