Graph convergence for the \(H(\cdot,\cdot)\)-mixed mapping with an application for solving the system of generalized variational inclusions

DOI10.1186/1687-1812-2013-304zbMath1476.47056OpenAlexW2110024553WikidataQ59294837 ScholiaQ59294837MaRDI QIDQ401814

Sanjeev Gupta, Vishnu Narayan Mishra, Shamshad Husain

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-304

zbMATH Keywords

iterative algorithmconvergence criteriaaccretive mappings\(H(\cdot,\cdot)\)-mixed mappinggraph convergenceproximal-point mapping methodsystem of generalized variational inclusions

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)

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H(., ., .)- $$\eta $$ η -Proximal-Point Mapping with an Application ⋮ Generalized nearly asymptotically nonexpansive mappings and a system of generalized variational-like inclusions: iterative method and approximation of common solutions ⋮ Unnamed Item ⋮ \(H((\cdot, \cdot),(\cdot, \cdot))\)-mixed cocoercive operators with an application for solving variational inclusions in Hilbert spaces ⋮ Algorithm for solving a new system of generalized nonlinear quasi-variational-like inclusions in Hilbert spaces ⋮ Variational inclusion governed by αβ-H((.,.),(.,.))-mixed accretive mapping

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