%0 Journal Article %T Generalized coincidence theory for set-valued maps %A O'Regan, Donal %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 3 %@ ISSN 2008-1901 %F O'Regan2017 %X This paper presents a coincidence theory for general classes of maps based on the notion of a \(\Phi\)-essential map (we will also discuss \(\Phi\)-epi maps). %9 journal article %R 10.22436/jnsa.010.03.01 %U http://dx.doi.org/10.22436/jnsa.010.03.01 %P 855--864