Work

Evolution Equations for Maximal Monotone Operators: Asymptotic Analysis in Continuous and Discrete Time

Year: 2010

Type: article

Abstract: This survey is devoted to the asymptotic behavior of solutions of evolution equations generated by maximal monotone operators in Hilbert spaces. The emphasis is in the comparison of continuous time trajectories to sequences generated by implicit or explicit discrete time schemes. The analysis covers weak convergence for the average process, for the process itself and strong convergence. The aim is to highlight the main ideas and unifying the proofs. Furthermore the connection is made with the analysis in terms of almost orbits that allows for a broader scope

Source: Journal of convex analysis

DOI: 10.68381/jca17068

Authors: Juan Peypouquet, Sylvain Sorin

Institutions: Universidad Técnica Federico Santa María, Centre National de la Recherche Scientifique, École Polytechnique, Université Pierre-et-Marie-Curie

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Agence Nationale de la Recherche, Universidad de Chile

Award: Optimisation, Stratégies, Selection : Dynamiques, Approximations, et Applications