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Fixed Points and Zeros for Set Valued Mappings on Riemannian Manifolds: A Subdifferential Approach

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Abstract

In this paper we establish several results which allow to find fixed points and zeros of set-valued mappings on Riemannian manifolds. In order to prove these results we make use of subdifferential calculus. We also give some useful applications.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    Daniel Azagra, Juan Ferrera & Beatriz Sanz

Authors
  1. Daniel Azagra
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  2. Juan Ferrera
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  3. Beatriz Sanz
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Correspondence to Beatriz Sanz.

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Azagra, D., Ferrera, J. & Sanz, B. Fixed Points and Zeros for Set Valued Mappings on Riemannian Manifolds: A Subdifferential Approach. Set-Valued Anal 16, 581–596 (2008). https://doi.org/10.1007/s11228-007-0053-9

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  • DOI: https://doi.org/10.1007/s11228-007-0053-9

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