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Some fixed point results on a metric space with a graph. (English) Zbl 1237.54042
The main results of this paper (Theorems 2.1–2.4) deal with the stability (not explicitly called so) for the Picard iteration associated to $$G$$-contractions or $$G$$-nonexpansive mappings defined on a metric space endowed with a graph $$G$$.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces 05C63 Infinite graphs 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.
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