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Common value pairs and their estimations. (English) Zbl 1391.55001
In this paper the authors obtain some estimations for intersection points of two maps $$f,g:X\to Y$$. Instead of considering intersection points on the target space $$Y$$ they focus on common value pairs, i.e the pairs $$(u,v)$$ in the domain $$X^2$$ of $$f\times g$$ with $$f(u)=g(v)$$. They apply the idea of Nielsen root theory to such a general case: preimage of a set.

##### MSC:
 55M20 Fixed points and coincidences in algebraic topology
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