947 research outputs found
A positive fixed point theorem with applications to systems of Hammerstein integral equations
We present new criteria on the existence of fixed points that combine some
monotonicity assumptions with the classical fixed point index theory. As an
illustrative application, we use our theoretical results to prove the existence
of positive solutions for systems of nonlinear Hammerstein integral equations.
An example is also presented to show the applicability of our results.Comment: 11 page
Elliptic problems with lack of compactness via a new fixed point theorem
AbstractThis paper provides a new fixed point theorem for increasing self-mappings G:B→B of a closed ball B⊂X, where X is a Banach semilattice which is reflexive or has a weakly fully regular order cone X+. By means of this fixed point theorem, we are able to establish existence results of elliptic problems with lack of compactness
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