On the solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces

2015/01/02 by Janosch Rieger, Rieger, Janosch, Tobias Weth +1
Computer Science · Mathematics · #47H04 #49J53 #65K10 #Advanced Banach Space Theory #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC #msc:47H04 #msc:49J53 #msc:65K10

paper · pdf · doi:10.48550/arxiv.1501.00380

27 pages, 2 figures

arxiv created 2015/01/02 · openalex publication_date 2015/01/02 · arxiv updated 2015/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove solvability theorems for relaxed one-sided Lipschitz multivalued mappings in Hilbert spaces and for composed mappings in the Gelfand triple setting. From these theorems, we deduce properties of the inverses of such mappings and convergence properties of a numerical scheme for the solution of algebraic inclusions.

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