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A Variational Analogue of Krasnoselskii’s Cone Fixed Point Theory

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Nonlinear Analysis and Boundary Value Problems (NABVP 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 292))

Abstract

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.

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References

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Acknowledgements

The author thanks the referee for careful reading of the manuscript and helpful suggestions for improvement.

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Authors and Affiliations

  1. Department of Mathematics, Babeş–Bolyai University, 400084, Cluj-Napoca, Romania

    Radu Precup

Authors
  1. Radu Precup
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Corresponding author

Correspondence to Radu Precup .

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Editors and Affiliations

  1. Departamento de Matemática Aplicada II, Universidade de Vigo, Ourense, Spain

    Iván Area

  2. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Alberto Cabada

  3. Departamento de Matemáticas, Universidade de Vigo, Ourense, Spain

    José Ángel Cid

  4. E.T.S. Ingenieros Industriales, Universidad Nacional de Educación a Distancia (UNED), Madrid, Spain

    Daniel Franco

  5. Departamento de Matemática Aplicada II, Universidade de Vigo, Vigo, Pontevedra, Spain

    Eduardo Liz

  6. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rodrigo López Pouso

  7. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rosana Rodríguez-López

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Precup, R. (2019). A Variational Analogue of Krasnoselskii’s Cone Fixed Point Theory. In: Area, I., et al. Nonlinear Analysis and Boundary Value Problems . NABVP 2018. Springer Proceedings in Mathematics & Statistics, vol 292. Springer, Cham. https://doi.org/10.1007/978-3-030-26987-6_1

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