Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks

Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks

General framework for the generalized proximal point algorithm, based on the notion of (H,r)- monotonicity, is developed. The linear convergence analysis for the generalized proximal point algorithm to the context of solving a class of nonlinear variational inclusions is examined, The obtained resul...

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Autor principal: Verma,Ram U
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:
General cocoerciveness
Variational inclusions
Maximal monotone mapping
(H,r) - monotone mapping
Generalized proximal point algorithm
Generalized resolvent operator.
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300010
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spelling oai:scielo:S0719-064620110003000102018-10-08Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity FrameworksVerma,Ram U General cocoerciveness Variational inclusions Maximal monotone mapping (H,r) - monotone mapping Generalized proximal point algorithm Generalized resolvent operator. General framework for the generalized proximal point algorithm, based on the notion of (H,r)- monotonicity, is developed. The linear convergence analysis for the generalized proximal point algorithm to the context of solving a class of nonlinear variational inclusions is examined, The obtained results generalize and unify a wide range of problems to the context of achieving the linear convergence for proximal point algorithms.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.3 20112011-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300010en10.4067/S0719-06462011000300010
institution Scielo Chile
collection Scielo Chile
language English
topic General cocoerciveness
Variational inclusions
Maximal monotone mapping
(H,r) - monotone mapping
Generalized proximal point algorithm
Generalized resolvent operator.
spellingShingle General cocoerciveness
Variational inclusions
Maximal monotone mapping
(H,r) - monotone mapping
Generalized proximal point algorithm
Generalized resolvent operator.
Verma,Ram U
Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
description General framework for the generalized proximal point algorithm, based on the notion of (H,r)- monotonicity, is developed. The linear convergence analysis for the generalized proximal point algorithm to the context of solving a class of nonlinear variational inclusions is examined, The obtained results generalize and unify a wide range of problems to the context of achieving the linear convergence for proximal point algorithms.
author Verma,Ram U
author_facet Verma,Ram U
author_sort Verma,Ram U
title Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
title_short Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
title_full Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
title_fullStr Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
title_full_unstemmed Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Monotonicity Frameworks
title_sort linear convergence analysis for general proximal point algorithms involving (h,η)- monotonicity frameworks
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300010
work_keys_str_mv AT vermaramu linearconvergenceanalysisforgeneralproximalpointalgorithmsinvolvingh951monotonicityframeworks
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