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Nonlinear Eigenvalue Problems in Dunford–Pettis Spaces

In: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

Author

Listed:
  • Afif Ben Amar

    (University of Sfax, Faculty of Sciences, Department of Mathematics)

  • Donal O’Regan

    (National University of Ireland, Galway, School of Mathematics)

Abstract

In this chapter, we present some variants of Leray–Schauder type fixed point theorems and eigenvalue results for decomposable single-valued nonlinear weakly compact operators in Dunford–Pettis spaces.

Suggested Citation

  • Afif Ben Amar & Donal O’Regan, 2016. "Nonlinear Eigenvalue Problems in Dunford–Pettis Spaces," Springer Books, in: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications, chapter 0, pages 39-44, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-31948-3_2
    DOI: 10.1007/978-3-319-31948-3_2
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