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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2023 Volume 64, Number 4, Pages 815–829 (Mi smj7800)
This article is cited in 1 paper

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


 English version: Siberian Mathematical Journal, 2024, 64:4, 914–926

© Steklov Math. Inst. of RAS, 2025