On continuous and Lipschitz selections of multivalued mappings given by systems of inequalities

DOI10.20310/2686-9667-2023-28-144-447-468MaRDI QIDQ6554541

Rafik A. Khachatryan

Publication date: 12 June 2024

Published in: Vestnik Rossiĭskikh Universitetov. Matematika (Search for Journal in Brave)

zbMATH Keywords

multivalued mappingLipschitz conditionweakly convex setproximally smooth setcontinuous and Lipschitz selections

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52) Numerical methods based on nonlinear programming (49M37)

Cites Work

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• Continuous selections. I
• On continuous selections of set-valued mappings with almost convex values
• Discontinuous sweeping process with prox-regular sets
• On the existence of continuous selections of a multivalued mapping related to the problem of minimizing a functional
• Weakly convex and proximally smooth sets in Banach spaces
• A certain condition of almost convexity

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