Generalized monotone mapping with an application for solving a variational inclusion problem

DOI10.1007/s10957-012-0182-7zbMath1268.49007OpenAlexW2162773528MaRDI QIDQ353189

Jen-Chih Yao, Rais Ahmad, Mohammad Akram

Publication date: 12 July 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0182-7

zbMATH Keywords

resolvent operatorvariational inclusioncocoercive mappinggeneralized monotone mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53)

Related Items (5)

Generalized resolvent operator involving \(\mathcal{G}(\cdot,\cdot)\)-co-monotone mapping for solving generalized variational inclusion problem ⋮ Generalized nearly asymptotically nonexpansive mappings and a system of generalized variational-like inclusions: iterative method and approximation of common solutions ⋮ Unnamed Item ⋮ Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces ⋮ Convergence of some iterative algorithms for system of generalized set-valued variational inequalities

Cites Work

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• \(H(\cdot ,\cdot )\)-accretive operator with an application for solving variational inclusions in Banach spaces
• A new class of generalized set-valued implicit variational inclusions in Banach spaces with an application

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