Abstract : We study the convergence of a variable version of the Krasnoselski-Mann algorithm applied to a primal dual fixed point problem. The link with Spingarn's partial inverse method is made, and an application to feasibility problems and mathematical programming is also proposed.
Abdellatif Moudafi. A Variable Krasnoselski-Mann Algorithm for a New Class of Fixed Point Problems. Numerical Functional Analysis and Optimization, Taylor & Francis, 2009, 30 (5-6), pp.582-590. ⟨10.1080/01630560902987436⟩. ⟨hal-00779984⟩
