Fixed points of Hammerstein-type equations on general cones


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	Fixed points of Hammerstein-type equations on general cones


	Fixed Point Theory, Volume 19, No. 2, 2018, 571-586, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.45 Authors: Rubén Figueroa and F. Adrián F. Tojo 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. Key Words and Phrases: Cones, fixed points, Hammerstein equations. 2010 Mathematics Subject Classification: 37C25, 47H30, 34B15. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents