%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 %0 Journal Article %T Nonlinear essential maps of Mönch , 1-set contractive demicompact and monotone (S)+ type %A R. P. Agarwal %A D. O’Regan %J J. Appl. Math. Stochastic Anal. %D 2001 %V 14 %F Agarwal2001 %0 Journal Article %T A note on the topological transversality theorem for acyclic maps %A R. P. Agarwal %A D. O’Regan %J Appl. Math. Lett. %D 2005 %V 18 %F Agarwal2005 %0 Book %T Nonlinear operators and nonlinear equations of evolution in Banach spaces %A F. E. Browder %D 1976 %I Nonlinear functional analysis, Proc. Sympos. Pure Math., Vol. XVIII, Part 2, Chicago, Ill., (1968), 1–308, Amer. Math. Soc. %C Providence, R. I. %F Browder1976 %0 Journal Article %T Fixed point theory and nonlinear problems %A F. E. Browder %J Bull. Amer. Math. Soc. (N.S.) %D 1983 %V 9 %F Browder1983 %0 Journal Article %T On the solvability of nonlinear operator equations in normed spaces %A M. Furi %A M. Martelli %A A. Vignoli %J Ann. Mat. Pura Appl. %D 1980 %V 124 %F Furi1980 %0 Journal Article %T Generalized topological essentiality and coincidence points of multivalued maps %A G. Gabor %A L. Górniewicz %A M. Ślosarski %J Set-Valued Var. Anal. %D 2009 %V 17 %F Gabor2009 %0 Journal Article %T Sur la méthode de continuité de Poincaré %A A. Granas %J C. R. Acad. Sci. Paris Sr. A-B %D 1976 %V 282 %F Granas1976 %0 Journal Article %T Demicontinuity, hemicontinuity and monotonicity %A T. Kato %J Bull. Amer. Math. Soc. %D 1964 %V 70 %F Kato1964 %0 Journal Article %T Demicontinuity, hemicontinuity and monotonicity, II %A T. Kato %J Bull. Amer. Math. Soc. %D 1967 %V 73 %F Kato1967 %0 Journal Article %T Continuation methods based on essential and 0-epi maps %A D. O’Regan %J Acta Appl. Math. %D 1998 %V 54 %F O’Regan 1998 %0 Journal Article %T Continuation theorems for acyclic maps in topological spaces %A D. O’Regan %J Commun. Appl. Anal. %D 2009 %V 13 %F O’Regan2009 %0 Journal Article %T Homotopy principles for d-essential acyclic maps %A D. O’Regan %J J. Nonlinear Convex Anal. %D 2013 %V 14 %F O’Regan2013 %0 Journal Article %T Coincidence points for multivalued maps based on \(\Phi\)-epi and \(\Phi\)-essential maps %A D. O’Regan %J Dynam. Systems Appl., %D 2015 %V 24 %F O’Regan2015 %0 Book %T Theorems of Leray-Schauder type and applications %A D. O’Regan %A R. Precup %D 2001 %I Series in Mathematical Analysis and Applications,http://www.isr-publications.com/admin/jnsa/articles/3576/edit Gordon and Breach Science Publishers %C Amsterdam %F O’Regan2001