A mountain pass algorithm with projector |
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Authors: | N Tacheny C Troestler |
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Institution: | Université de Mons, Place du Parc 20, 7000 Mons, Belgium |
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Abstract: | In this paper, we present an enhanced version of the minimax algorithm of Chen, Ni, and Zhou that offers the additional guarantee that the solution found is a fix-point of a projector on a cone. Positivity, negativity, and monotonicity can be expressed in this way. The convergence of the algorithm is proved by means of a “computational deformation lemma” instead of the usual deformation lemma used in the calculus of variations. |
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Keywords: | 65K10 65N12 35J50 |
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