RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2023 Volume 64, Number 4, Pages 815–829 (Mi smj7800)
Distances between maximal monotone operators

A. A. Tolstonogov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk

Abstract: We introduce a series of distances between maximal monotone operators and study their properties. As applications, we consider the existence of solutions to evolutionary inclusions with maximal monotone operators.

Keywords: maximal monotone operator, $\rho$-pseudodistance, Hausdorff $\rho$-distance.

UDC: 517.988.5

MSC: 35R30

Received: 06.04.2023
Revised: 06.04.2023
Accepted: 16.05.2023

DOI: 10.33048/smzh.2023.64.413


© Steklov Math. Inst. of RAS, 2025