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Fixed points of \(G\)-type quasi-contractions on graphs. (English) Zbl 1300.54067

Summary: Recently, fixed point theory on graphs has been considered by many authors. In this paper, by combining some ideas in some published papers and introducing \(G\)-type quasi-contractions, we give some fixed point results for \(G\)-type quasi-contractions on graphs. The results improve some old results in the literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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