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Some variants of Wardowski fixed point theorem. (English) Zbl 1494.54061

Summary: The purpose of this paper is to consider some \(F\)-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54E50 Complete metric spaces
54E35 Metric spaces, metrizability
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