On oriented Coincidence Index for Nonlinear Fredholm Inclusions

The study of coincidences of Fredholm operators and nonlinear maps of various classes is motivated in many problems in the theory of partial differential equations and optimal control theory. The topological characteristic of of the coincidence degree are very effective for solving problems of theat kind. We suggest a general construction of an oriented coincidence degree for nonlinear Fredholm operators of zero index and for approximable multivalued maps of compact and condensing type.