A variational analogue of Krasnoselskii’s cone fixed point theory


Based on Ekeland’s principle, a variational analogue of Krasnoselskii’s cone compression-expansion fixed point theorem is presented. A general scheme of applications to semilinear equations making use of Mikhlin’s variational theory on positive linear operators is included.


Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Critical point; Fixed point; Cone; Variational principle; Semilinear operator equation; Positive solution

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R. Precup, A variational analogue of Krasnoselskii’s cone fixed point theory, in Nonlinear Analysis and Boundary Value Problems, Eds.: I. Area, A. Cabada, J. Á. Cid, D. Franco, E. Liz, R. López Pouso, R. Rodríguez López, Springer Proceedings in Mathematics & Statistics 292, Springer, 2019, 1-18. http://doi.org/10.1007/978-3-030-26987-6_1



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Springer Proceedings in Mathematics & Statistics

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Springer Cham.

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ISBN 978-3-030-26986-9

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ISBN 978-3-030-26987-6

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