Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Generalized Projection Operators in Banach Spaces: Properties and Applications - MaRDI portal

Generalized Projection Operators in Banach Spaces: Properties and Applications

From MaRDI portal
Publication:5689992

zbMath0882.47046arXivfunct-an/9311002MaRDI QIDQ5689992

Ya. I. Al'ber

Publication date: 15 January 1997

Full work available at URL: https://arxiv.org/abs/funct-an/9311002




Related Items

A halpern-type iteration for solving the split feasibility problem and the fixed point problem of Bregman relatively nonexpansive semigroup in Banach spacesProximal projection methods for variational inequalities and Cesáro averaged approximationsConvergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces.Iterative construction of fixed points of nonself-mappings in Banach spacesCalculus rules for \(V\)-proximal subdifferentials in smooth Banach spacesA convergence theorem for solving generalized mixed equilibrium problems and finding fixed points of a weak Bregman relatively nonexpansive mappings in Banach spacesGeneralised-prox-regularity in reflexive smooth Banach spaces with smooth dual normOn systems of generalized nonlinear variational inequalities in Banach spacesSolvability of \(f\)-complementarity problems with a new exceptional family of elementsThe connection between the metric and generalized projection operators in Banach spacesTwo New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach SpacesConvergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spacesApproximation of common solutions of nonlinear problems in Banach spacesA common solution of generalized equilibrium, zeros of monotone mapping and fixed point problemsA generalized \(f\)-projection method for countable families of weak relatively nonexpansive mappings and the system of generalized Ky Fan inequalitiesOperator-theoretic and regularization approaches to ill-posed problemsIterative schemes for nonconvex quasi-variational problems with \(V\)-prox-regular data in Banach spaces\(W\)-approximative compactness and continuity of the generalized projection operator in Banach spacesShrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach spaceA modified Mann iterative scheme by generalized \(f\)-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problemsA generalized self-adaptive algorithm for the split feasibility problem in Banach spacesThe best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spacesConvex sweeping processes with noncompact perturbations and with delay in Banach spacesStrong convergence of a generalized forward–backward splitting method in reflexive Banach spacesConvergence theorems for modified generalized \(f\)-projections and generalized nonexpansive mappingsA Mann type hybrid generalized \(f\)-projection iterative method for a class of nonlinear mappingsA strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spacesStrong convergence theorems for relatively nonexpansive mappings in Banach spaces with applicationsMann-type algorithms for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spacesWeak and strong convergence results for solving monotone variational inequalities in reflexive Banach spacesForward-reflected-backward splitting method without cocoercivity for the sum of maximal monotone operators in Banach spacesExistence theorems for generalized set-valued mixed (quasi-)variational inequalities in Banach spacesImplicit second order differential inclusions in reflexive smooth Banach spacesSmooth over-parameterized solvers for non-smooth structured optimizationNovel inertial methods for fixed point problems in reflexive Banach spaces with applicationsDegree theory for a generalized set-valued variational inequality with an application in Banach spacesAlgorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach SpacesApproximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spacesA first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach spaceProjection algorithms for the system of mixed variational inequalities in Banach spacesApproximation of fixed points of weak Bregman relatively nonexpansive mappings in Banach spacesStrong convergence theorems for countable families of uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problemsExistence and algorithm for solving the system of mixed variational inequalities in Banach spacesUnbounded state-dependent sweeping processes with perturbations in uniformly convex and \(q\)-uniformly smooth Banach spacesState dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spacesThe modified Mann type iterative algorithm for a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive mappings by the hybrid generalized f-projection methodNonlinear iterative methods for solving the split common null point problem in Banach spacesThe generalized \(f\)-projection operator and set-valued variational inequalities in Banach spacesA generalized \(f\)-projection algorithm for inverse mixed variational inequalitiesNoncompact perturbation of sweeping process with delay in Banach spaces\(V\)-prox-regular functions in smooth Banach spacesA new system of multivalued mixed variational inequality problemExistence theorems for variational inequalities in Banach spacesGeneralized projections on closed nonconvex sets in uniformly convex and uniformly smooth Banach spacesProperties of the generalized \(f\)-projection operator and its applications in Banach spacesA new multi-step iterative algorithm for approximating common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappingsStrongly convergent approximations to fixed points of total asymptotically nonexpansive mappingsA Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spacesIterative schemes for approximating solution of nonlinear operators in Banach spacesStrong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problemsProjection algorithms for the system of generalized mixed variational inequalities in Banach spacesOn the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappingsBregman distances, totally convex functions, and a method for solving operator equations in Banach spacesConvergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappingsOn hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappingsAn iterative shrinking metric \(f\)-projection method for finding a common fixed point of a closed and quasi-strict \(f\)-pseudocontraction and a countable family of firmly nonexpansive mappings and applications in Hilbert spacesThe generalized projection operator on reflexive Banach spaces and its applicationsProximal analysis in reflexive smooth Banach spacesState dependent nonconvex sweeping processes in smooth Banach spacesExistence theorem and algorithm for a general implicit variational inequality in Banach spaceOn the generalized Bregman projection operator in reflexive Banach spacesExistence result and error bounds for a new class of inverse mixed quasi-variational inequalitiesUnnamed ItemUnnamed ItemOn some algorithms in Banach spaces finding fixed points of nonlinear mappingsBregman distance and strong convergence of proximal-type algorithmsAn iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spacesThe monotone contraction mapping theoremA shrinking projection algorithm with errors for Costerro bounded linear mappingsIll-Posed Problems: Operator Methodologies of Resolution and RegularizationExistence results for second order nonconvex sweeping processes in \(q\)-uniformly convex and 2-uniformly smooth separable Banach spacesThe regularization method for variational inequalities with nonsmooth unbounded operators in Banach space