Geodesic
Problems and methods of the fixed points of the maximum principle
The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 31-41

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Necessary optimality conditions for optimal control problems in the form of the maximum principle are represented as a special problem of the fixed points of the constructed control operators. On the basis of the proposed approach are considered methods of searching controls, satisfying the maximum principle.
Keywords: maximum principle, fixed point problem, method of successive approximations. 
A. S. Buldaev. Problems and methods of the fixed points of the maximum principle. The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 31-41. http://geodesic.mathdoc.fr/item/IIGUM_2015_14_a2/
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