Topological Fixed Point Theory of Multivalued Mappings

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Topological Fixed Point Theory of Multivalued Mappings

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  • Dates First available in Project Euclid: 13 July 2016. Homotopy Methods in Topological Fixed and Periodic Points Theory, Topological Fixed Point Theory and Its Applications, Vol. 3, Springer, Dordrecht, 2006) Mathematical Reviews (MathSciNet): MR2189944.
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  • In mathematics, homotopy groups are used in algebraic topology to classify topological first and simplest homotopy group is the fundamental group, which records information about loops in a ively, homotopy groups record information about the basic shape, or holes, of a topological space.. To define the n-th homotopy group, the base-point …
  • ELEMENTS OF HOMOTOPY THEORY - UNAM
  • */) from arbitrary starting points, we need to turn to a more complex class of algorithms known as homotopy, or continuation methods. These methods are usually slower than line-search and trust-region methods, but they are useful on difficult problems for which a good starting point is hard to find.
  • Thus in Chapter III the approximation (on the graph) method in ?xed point theory of multivalued mappings is presented. Chapter IV is devoted to the ho- logical methods and contains more general results, e.g. the Lefschetz Fixed Point Theorem, the ?xed point index and the topological degree theory.

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