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Topological fixed point(coincidence) theory deals with the estimation of the number of fixed points(coincidences) of maps.In this book, we introduce recent developments in the epsilon Nielsen fixed point and coincidence theory of map.There is well known the epsilon Nielsen theory expressing the epsilon Nielsen number is a bigger than the usual Nielsen number. We generalize these ideas to the setting of coincidence two maps. We first extend the algebraic method of computing the epsilon Nielsen coincidence number. Then, we prove the problem of minimizing the number of the epsilon coincidence...