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In mathematics, a coincidence point of two functions is a point in their common domain having the same image.
Formally, given two functions
we say that a point x in X is a coincidence point of f and g if f = g.
Coincidence theory is, in most settings, a generalization of fixed point theory, the study of points x with f = x. Fixed point theory is the special case obtained from the above by letting X = Y and taking g to be the identity function.
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