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.
|Number of pages||51|
|Journal||Journal of Convex Analysis|
|Publication status||Published - 2010|
- WEAK-CONVERGENCE THEOREMS
- PROXIMAL POINT ALGORITHM
- NONLINEAR SEMIGROUPS
- CONVEX MINIMIZATION