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- Title
Inexact A-Proximal Point Algorithm and Applications to Nonlinear Variational Inclusion Problems.
- Authors
Agarwal, R. P.; Verma, R. U.
- Abstract
A generalization to the Rockafellar theorem (1976) on the linear convergence in the context of approximating a solution to a general class of inclusion problems involving set-valued A-maximal relaxed monotone mappings using the proximal point algorithm in a real Hilbert space setting is given. There exists a vast literature on this theorem, but most of the investigations are focused on relaxing the proximal point algorithm and applying it to the inclusion problems. The general framework for A-maximal relaxed monotonicity generalizes the theory of set-valued maximal monotone mappings, including H-maximal monotone mappings. The obtained results are general in nature, while application-oriented as well.
- Subjects
STOCHASTIC convergence; HILBERT space; MONOTONE operators; ALGORITHMS; HYPERSPACE
- Publication
Journal of Optimization Theory & Applications, 2010, Vol 144, Issue 3, p431
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-009-9615-3