Abstract
We shall give a new treatment to intersection points of two maps, named common value pairs. Given two maps $f,g\colon X\to Y$. Instead of considering intersection points on target space $Y$, we focus on the pairs in the domains $X$, the pair $(u,v)$ with $f(u)=g(v)$. The set of all these pairs is exactly the preimage of product $f\times g$ at the diagonal in $Y^2$. We shall apply the idea of Nielsen root theory into such a general case: preimage of a set. Hence, some estimation for common value pairs and therefore for intersection points are obtained.
Citation
Ying Gu. Xuezhi Zhao. "Common value pairs and their estimations." Bull. Belg. Math. Soc. Simon Stevin 24 (4) 725 - 739, december 2017. https://doi.org/10.36045/bbms/1515035018
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