On the stability of the parallel sum of maximal monotone operators

Abdellatif Moudafi (1)

1 Département de Mathématiques

Identifying operators with their graphs, we study the continuity of the parallel sum of two monotone operators with respect to set convergence and we examine its stability from a quantitative point of view.

Domains: Optimization and Control [math.OC]

Abdellatif Moudafi. On the stability of the parallel sum of maximal monotone operators. Journal of Mathematical Analysis and Applications, 1996, 199 (2), pp.478-488. ⟨10.1006/jmaa.1996.0155⟩. ⟨hal-00816097⟩