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On fixed points in a metric space over a Tikhonov semifield. (Russian) Zbl 0883.54031

Let \((X,d)\) be a sequential complete metric space over a semifield \(R^\Delta\). The conditions for a mapping \(T:X\to X\) having a unique fixed point are given.

MSC:

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