Inexact Proximal Point Method Using Quasi-Distances for Optimization of KL Functions
DOI:
https://doi.org/10.15381/pesquimat.v25i1.23144Keywords:
Kurdyka-Lojasiewicz inequality, quasi-distances, proximal point algo-rithmAbstract
An inexact proximal point algorithm using quasi-distances is introduced to give a solution of a minimization problem in the Euclidean space. This algorithm has been motivated by the proximal method introduced by Attouch, Bolte and Svaiter [1] but in this case we consider quasi-distance instead of the Euclidean distance, functions satisfying the Kurdyka-Lojasewicz inequality, vector errors in the critical point of the proximal subproblems. We obtain, under some additional assumptions, the global convergence of the sequence generated by the algorithm to a critical point of the problem.
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Copyright (c) 2022 Erik A. Papa Quiroz, Jose L. Huaman ˜Naupa
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