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.
CITATION STYLE
Precup, R. (2019). A Variational Analogue of Krasnoselskii’s Cone Fixed Point Theory. In Springer Proceedings in Mathematics and Statistics (Vol. 292, pp. 1–18). Springer. https://doi.org/10.1007/978-3-030-26987-6_1
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