A mountain pass algorithm with projector

作者:Tacheny N; Troestler C*
来源:Journal of Computational and Applied Mathematics, 2012, 236(7): 2025-2036.
DOI:10.1016/j.cam.2011.11.011

摘要

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 %26quot;computational deformation lemma%26quot; instead of the usual deformation lemma used in the calculus of variations.

  • 出版日期2012-1