The coincidence index for fundamentally contractible multivalued maps with nonconvex values

Dorota Gabor

Displaying similar documents to “The coincidence index for fundamentally contractible multivalued maps with nonconvex values”

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Systems of Inclusions Involving Fredholm Operators and Noncompact Maps

Dorota Gabor (2007)

Bollettino dell'Unione Matematica Italiana

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We consider the existence of solutions to the system of two inclusions involving Fredholm operators of nonnegative index and the so-called fundamentally restrictible maps with not necessarily convex values. We apply the technique of a solution map and, since the assumptions admit a 'dimension defect', we use the coincidence index, i.e. the homotopy invariant based on the cohomotopy theory. Two examples of applications to boundary value problems are included.