The over-relaxed \(A\)-proximal point algorithm for general nonlinear mixed set-valued inclusion framework

DOI10.1155/2011/840978zbMath1252.47078OpenAlexW2064027721WikidataQ59267275 ScholiaQ59267275MaRDI QIDQ536894

Xian Bing Pan, An Jian Xu, Hong-Gang Li

Publication date: 19 May 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/840978

zbMATH Keywords

convergenceresolvent operator technique(\(A,\eta\))-accretive mappingnonlinear variational inclusion with relaxed co-coercive mappingover-relaxed \(A\)-proximal point algorithm

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items (8)

The over-relaxed scheme based on \(H(\cdot ,\cdot )\)-cocoercive operators for solving a generalized variational inclusion problem ⋮ Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with \((\alpha, \lambda)\)-NODSM mappings in ordered Banach spaces ⋮ Graph-convergent analysis of over-relaxed \((A, \eta, m)\)-proximal point iterative methods with errors for general nonlinear operator equations ⋮ Solving \textit{GNOVI} frameworks involving \((\gamma_G, \lambda)\)-weak-\textit{GRD} set-valued mappings in positive Hilbert spaces ⋮ Perturbed Ishikawa-hybrid quasi-proximal point algorithm with accretive mappings for a fuzzy system ⋮ Characterizations of weak-\(ANODD\) set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving \(\oplus\) operator in ordered Banach spaces ⋮ A nonlinear inclusion problem involving \((\alpha,\lambda)\)-\(NODM\) set-valued mappings in ordered Hilbert space ⋮ GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space

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