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Caristi-type fixed point theorem over Száz principle in quasi-metric space with a graph. (English) Zbl 1469.54070

Summary: The aim of this paper is to generalize Caristi’s fixed point theorem in a \(K\)-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle [Á. Száz, Math. Commun. 12, No. 2, 155–161 (2007; Zbl 1143.06002)]. An example is given to support our main result.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces

Citations:

Zbl 1143.06002
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Full Text: DOI

References:

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