Strong convergence of a proximal point algorithm with general errors

From MaRDI portal
Publication:691475

DOI10.1007/s11590-011-0286-2zbMath1280.90097OpenAlexW2018056315MaRDI QIDQ691475

Naseer Shahzad, Yonghong Yao

Publication date: 30 November 2012

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0286-2




Related Items

The generalized contraction proximal point algorithm with square-summable errorsRETRACTED ARTICLE: ``On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spacesApproximating a common point of fixed points of a pseudocontractive mapping and zeros of sum of monotone mappingsA unified framework for solving generalized variational inequalitiesExtragradient methods with CQ technique for fixed point problems and equilibrium problemsStrong convergence theorems of quasi-\(\phi\)-asymptotically nonexpansive semi-groups in Banach spacesThe viscosity approximation forward-backward splitting method for zeros of the sum of monotone operatorsAn algorithm with general errors for the zero point of monotone mappings in Banach spacesIterative algorithms approach to a general system of nonlinear variational inequalities with perturbed mappings and fixed point problems for nonexpansive semigroupsIterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a \(q\)-uniformly smooth Banach spaceOptimal control of feedback control systems governed by systems of evolution hemivariational inequalitiesHybrid proximal point algorithm and applications to equilibrium problems and convex programmingA proximal point method involving two resolvent operatorsTotal quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spacesStrong convergence of regularized new proximal point algorithmsRegularized methods for the split feasibility problemIterative algorithms approach to variational inequalities and fixed point problemsProjection algorithms for variational inclusionsExtended extragradient methods for generalized variational inequalitiesA regularized gradient projection method for the minimization problemStrong convergence to solutions of generalized mixed equilibrium problems with applicationsIterative algorithms for solving the system of mixed equilibrium problems, fixed-point problems, and variational inclusions with application to minimization problemHybrid iterative scheme by a relaxed extragradient method for equilibrium problems, a general system of variational inequalities and fixed-point problems of a countable family of nonexpansive mappingsIterative methods for the sum of two monotone operatorsA new iterative scheme for generalized mixed equilibrium, variational inequality problems, and a zero point of maximal monotone operatorsAn iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spacesSome algorithms for finding fixed points and solutions of variational inequalitiesTwo-step projection methods for a system of variational inequality problems in Banach spacesWeak and strong convergence of generalized proximal point algorithms with relaxed parametersApproximation of fixed points for nonexpansive semigroups in Hilbert spacesModified extragradient algorithms for solving monotone variational inequalities and fixed point problemsStrong convergence theorems for the generalized split common fixed point problemProximal point methods for solving mixed variational inequalities on the Hadamard manifoldsExplicit iterative method for variational inequalities on Hadamard manifoldsIterative algorithm for common fixed points of infinite family of nonexpansive mappings in Banach spacesNew generalized mixed equilibrium problem with respect to relaxed semi-monotone mappings in Banach spacesComputing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterationsA system of generalized mixed equilibrium problems, maximal monotone operators, and fixed point problems with application to optimization problemsIterative algorithms for general multivalued variational inequalitiesStrong convergence of a modified extragradient method to the minimum-norm solution of variational inequalitiesGeneral proximal-point algorithm for monotone operatorsStrong convergence on the aggregate constraint-shifting homotopy method for solving general nonconvex programmingStrong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappingsIterative algorithm for a common fixed point of two mono-pseudocontractive mappings in Banach spacesA modified subgradient extragradient method for solving monotone variational inequalitiesStrong convergence theorems for the split common fixed point problem for countable family of nonexpansive operatorsHybrid algorithms of nonexpansive semigroups for variational inequalitiesConvergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problemsWell-posedness for systems of generalized mixed quasivariational inclusion problems and optimization problems with constraintsPerturbation resilience of proximal gradient algorithm for composite objectivesExpected residual minimization method for uncertain variational inequality problemsMetastability of the proximal point algorithm with multi-parametersForward-backward splitting algorithm for fixed point problems and zeros of the sum of monotone operatorsAn existence-uniqueness theorem and alternating contraction projection methods for inverse variational inequalitiesSelf-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problemsThe forward-backward splitting methods for variational inequalities and minimization problems in Banach spacesSome inequality techniques in handling fixed point problems on unbounded sets via homotopy methodsHomotopy method for solving mathematical programs with bounded box-constrained variational inequalitiesThe modified viscosity implicit rules for variational inequality problems and fixed point problems of nonexpansive mappings in Hilbert spacesComposite steepest-descent method for the triple hierarchical variational inequalitiesIterations for systems of variational inequalities, fixed points of pseudocontractions and zeros of accretive operatorsConvergence theorems for composite viscosity approaches to systems variational inequalities in Banach spacesExistence of solutions for a class of variational-hemivariational-like inequalities in Banach spaces



Cites Work