Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity

DOI10.1080/01630563.2022.2119248OpenAlexW4319835971MaRDI QIDQ5879501

Youness Alhabib Fajri

Publication date: 1 March 2023

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2119248

zbMATH Keywords

nonsmooth analysisrelatively \(r\)-monotone operatorsrelatively monotone and generalized monotone maps

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05)

Cites Work

• Characterizations of relatively generalized monotone maps
• Characterization of generalized monotone maps
• Generalized differential calculus for nonsmooth and set-valued mappings
• Criteria for differentiable generalized monotone maps
• Generalized monotonicity of a separable product of operators: The multivalued case
• Optimization and nonsmooth analysis
• Maximality and first-order criteria of r-monotone operators
• Relatively monotone variational inequalities over product sets
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