Warped Proximal Iterations for Monotone Inclusions

摘要: Resolvents of set-valued operators play a central role in various branches mathematics and particular the design analysis splitting algorithms for solving monotone inclusions. We propose generalization this notion, called warped resolvent, which is constructed with help an auxiliary operator. The properties resolvents are investigated connections made existing notions. Abstract weak strong convergence principles based on proposed shown to not only provide synthetic view but also constitute effective device produce new solution methods challenging inclusion problems.