A positive fixed point theorem with applications to systems of Hammerstein integral equations
Alberto CabadaDepartamento de Anlise Matemtica, Facultade de Matemticas, Universidade de Santiago de Compostela, Santiago de Compostela, 15782, SpainJosé Ángel CidDepartamento de Matemticas, Universidade de Vigo, Pabelln 3, Campus de Ourense, Ourense, 32004, SpainGennaro InfanteDipartimento di Matematica e Informatica, Universit della Calabria, Arcavacata di Rende, Cosenza, 87036, Italy
2014en
ABI
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Abstract 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. MSC: 47H10, 34B10, 34B18, 45G15, 47H30.
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