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Separation of Convex Cones and Extremal Problems

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Variational Analysis and Applications

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 79))

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Abstract

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.

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References

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Boltyanski, V. (2005). Separation of Convex Cones and Extremal Problems. In: Giannessi, F., Maugeri, A. (eds) Variational Analysis and Applications. Nonconvex Optimization and Its Applications, vol 79. Springer, Boston, MA. https://doi.org/10.1007/0-387-24276-7_15

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