\((H,\phi)\)-\(\eta\)-monotone operators in Banach spaces with an application to variational inclusions

DOI10.1016/j.amc.2010.02.005zbMath1222.47079OpenAlexW1499118461MaRDI QIDQ972156

Nan-Jing Huang, Xue-ping Luo

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.005

zbMATH Keywords

convergenceiterative algorithmvariational inclusionproximal mapping\((H, \phi)\)-\(\eta \)-monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items

Unnamed Item, Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces, \((H, \phi)\)-\(\eta\)-accretive mappings and a new system of generalized variational inclusions with \((H, \phi)\)-\(\eta\)-accretive mappings in Banach spaces, Cayley approximation operator with an application to a system of set-valued Cayley type inclusions, Unnamed Item, Unnamed Item, Strict feasibility of variational inclusion problems in reflexive Banach spaces, Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces, Existence of solution and iterative approximation of a system of generalized variational-like inclusion problems in semi-inner product spaces

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