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Fixed points of Hammerstein-type equations on general cones (1611.02487v1)
Published 8 Nov 2016 in math.CA
Abstract: We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous functionals with fixed point index theory. Many examples and an application to boundary value problems are also included.