Separation of Convex Cones and Extremal Problems

  • V. Boltyanski
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 79)


In 1958 the author proved the Maximum Principle [2]. B. Pshenichni wrote that the proof was sensational, using topology to obtain a result of variational calculus. Later the author worked out the Tent Method [3] as a general way to solve extremal problems. In fact, main ideas of the Method were contained in [2]. We give here a short survey of the Tent Method and the idea of the proof of the Maximum Principle. AMS 1991 Math. Subject Classification. Primary 15A15; 52A20; Secondary 15A18; 52B12.

Key words

optimization variational calculus maximum principle 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. Boltyanski
    • 1
  1. 1.CIMATGuanajuatoMexico

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