Nonsmooth nonconvex global optimization in a Banach space with a basis

  • Authors:
  • A. Balbás;E. Galperin;P. Jiménez Guerra

  • Affiliations:
  • -;-;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2004

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Abstract

Following paper [1), significant improvements are proposed as concerns the class of problems that can be solved, the quality of the solution, and the numerical implementability of the method. Optimization is considered in a Banach space over a nonconvex inf-compact, finitely infrobust set for a multivalued nonconvex continuous functional. The iterative method is monotonic and represents generalized variant o@$ setwise descent onto the set of all global minimizers. A real-life example of the vertical soft landing of an aircraft is considered to illustrate the method.