Generalized Monotone Mappings with Applications

DOI10.1007/978-981-287-973-8_10zbMath1333.49033OpenAlexW2491530420MaRDI QIDQ2789098

Rais Ahmad, Mijanur Rahaman, Abul Hasan Siddiqi, Mohammad Dilshad

Publication date: 26 February 2016

Published in: Mathematical Models, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-287-973-8_10

zbMATH Keywords

resolvent operatorLipschitz continuitygeneralized monotonicityvariational inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Variational and other types of inclusions (47J22)

Cites Work

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• Generalized system for relaxed cocoercive variational inequalities and projection methods
• A perturbed algorithm for variational inclusions
• Generalized set-valued variational inclusions in Banach spaces
• \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
• Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• \(H(\cdot ,\cdot )\)-accretive operator with an application for solving variational inclusions in Banach spaces
• Multi-valued contraction mappings
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• Iterative algorithm for a system of variational inclusions involving \(H\)-accretive operators in Banach spaces
• Inequalities in Banach spaces with applications
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
• A new class of generalized set-valued implicit variational inclusions in Banach spaces with an application

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