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  1. We define a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between infinite-dimensional real Banach spaces. Our notion extends the degree introduced by Nussbaum for loca...

    Authors: Pierluigi Benevieri, Alessandro Calamai and Massimo Furi
    Citation: Fixed Point Theory and Applications 2005 2005:659461
  2. In reply to a problem of Jean Leray (application of the Nielsen theory to differential equations), two main approaches are presented. The first is via Poincaré's translation operator, while the second one is b...

    Authors: Jan Andres
    Citation: Fixed Point Theory and Applications 2005 2005:268678
  3. The iterative schemes with some control conditions for a family of finite nonexpansive mappings are established in a Banach space. The main theorem improves results of Jung and Kim (also Bauschke). Our results...

    Authors: Jong Soo Jung, Yeol Je Cho and RP Agarwal
    Citation: Fixed Point Theory and Applications 2005 2005:140209
  4. We prove strong convergence theorems of Mann's type and Halpern's type for resolvents of accretive operators with compact domains and apply these results to find fixed points of nonexpansive mappings in Banach...

    Authors: Hiromichi Miyake and Wataru Takahashi
    Citation: Fixed Point Theory and Applications 2005 2005:926890
  5. Much has been written about systems in which each constant is a solution and each solution approaches a constant. It is a small step to conjecture that functions promoting such behavior constitute harmless per...

    Authors: TA Burton
    Citation: Fixed Point Theory and Applications 2005 2005:364505
  6. As is well known, in any infinite-dimensional Banach space one may find fixed point free self-maps of the unit ball, retractions of the unit ball onto its boundary, contractions of the unit sphere, and nonzero...

    Authors: Jürgen Appell, Nina A Erzakova, Sergio Falcon Santana and Martin Väth
    Citation: Fixed Point Theory and Applications 2004 2004:719153
  7. It is well known that some of the properties enjoyed by the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces considered. In the context of finite-dimensional real...

    Authors: Massimo Furi, Maria Patrizia Pera and Marco Spadini
    Citation: Fixed Point Theory and Applications 2004 2004:478686
  8. We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed...

    Authors: Philippe Bich and Bernard Cornet
    Citation: Fixed Point Theory and Applications 2004 2004:602917
  9. The solvability of nonlinear equations has awakened great interest among mathematicians for a number of centuries, perhaps as early as the Babylonian culture (3000-300 B.C.E.). However, we intend to bring to o...

    Authors: Raul Fierro, Carlos Martinez and Claudio H Morales
    Citation: Fixed Point Theory and Applications 2004 2004:516570
  10. A continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive...

    Authors: Adela Chiş and Radu Precup
    Citation: Fixed Point Theory and Applications 2004 2004:391090
  11. We examine http://static-content.springer.com/image/art%3A10.1155%2FS1687182004310016/MediaObjects/13663_2003_Article_927_IEq2_HTML.gif -Lienard systems driven by the vector http://static-content.springer.com/image/art%3A10.1155%2FS1687182004310016/MediaObjects/13663_2003_Article_927_IEq3_HTML.gif -Laplacian ...

    Authors: Michael Michael Filippakis and Nikolaos S Papageorgiou
    Citation: Fixed Point Theory and Applications 2004 2004:624076
  12. We propose, in the general setting of topological spaces, a definition of two-dimensional oriented cell and consider maps which possess a property of stretching along the paths with respect to oriented cells. ...

    Authors: Duccio Papini and Fabio Zanolin
    Citation: Fixed Point Theory and Applications 2004 2004:126568

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  • 2022 Citation Impact
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