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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

    Content type: Research Article

    Published on:

  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

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  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

    Content type: Research Article

    Published on:

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