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An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds

Abstract : We propose an inertial proximal point method for variational inclusion involving difference of two maximal monotone vector fields in Hadamard manifolds. We prove that if the sequence generated by the method is bounded, then every cluster point is a solution of the non-monotone variational inclusion. Some sufficient conditions for boundedness and full convergence of the sequence are presented. The efficiency of the method is verified by numerical experiments comparing its performance with classical versions of the method for monotone and non-monotone problems.
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https://hal-amu.archives-ouvertes.fr/hal-03866947
Contributor : Elisabeth Lhuillier Connect in order to contact the contributor
Submitted on : Thursday, November 24, 2022 - 8:34:54 AM
Last modification on : Thursday, November 24, 2022 - 8:40:32 AM

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João S. Andrade, Jurandir de O. Lopes, João Carlos de O. Souza. An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds. Journal of Global Optimization, In press, ⟨10.1007/s10898-022-01240-1⟩. ⟨hal-03866947⟩

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