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Convexity, Smoothness, and Duality Mappings

  • Ravi P. Agarwal
  • Donal O’Regan
  • D.R. Sahu
Chapter
First Online:
Part of the Topological Fixed Point Theory and Its Applications book series (TFPT, volume 6)

Geometric structures such as convexity and smoothness of Banach spaces play an important role in the existence and approximation of fixed points of nonlinear mappings. This chapter presents a substantial number of useful pro-perties of duality mappings and Banach spaces having these geometric structures.

Keywords

Banach Space Convex Subset Duality Mapping Nonempty Closed Convex Subset Convex Banach Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  2. 2.Institute of MathematicsNational University of IrelandGalwayIreland
  3. 3.Department of Mathematics Faculty of ScienceBanaras Hindu UniversityVaranasiIndia

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