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 \(G\).
Reviewer: Vasile Berinde (Baia Mare)
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. |
Keywords:
metric space; fixed point; graph; \(G\)-contractive mapping; \(G\)-nonexpansive mapping; iterative schemeReferences:
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