Weak and strong convergence of solutions to accretive operator inclusions and applications
From MaRDI portal
Publication:5925756
DOI10.1023/A:1026592623460zbMath0981.47036OpenAlexW119258514MaRDI QIDQ5925756
Takahashi, Wataru, Kamimura, Shoji
Publication date: 19 February 2001
Published in: Set-Valued Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026592623460
accretive operatoriterationminimization problemsresolventstrong convergencevariational inequalitiesweak convergence
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)
Related Items
Hybrid Viscosity Approximation Method for Zeros ofm-Accretive Operators in Banach Spaces ⋮ Relaxed and composite viscosity methods for variational inequalities, fixed points of nonexpansive mappings and zeros of accretive operators ⋮ Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space ⋮ Approximation of common fixed points of strongly nonexpansive sequences in a Banach space ⋮ Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators ⋮ Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces ⋮ Some results on Rockafellar-type iterative algorithms for zeros of accretive operators ⋮ Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type ⋮ Iterative algorithms for common elements in fixed point sets and zero point sets with applications ⋮ Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings ⋮ Approximation of zeros of accretive operators in a Banach space ⋮ Projection methods of iterative solutions in Hilbert spaces ⋮ Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces ⋮ Weak convergence of an iterative sequence for accretive operators in Banach spaces ⋮ On solutions of inclusion problems and fixed point problems ⋮ Viscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces ⋮ Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces ⋮ Extended extragradient methods for generalized variational inequalities ⋮ Two-step projection methods for a system of variational inequality problems in Banach spaces ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ Further improvement of a coefficient condition for a weakly convergent iterative scheme ⋮ Algorithms with strong convergence for a system of nonlinear variational inequalities in Banach spaces ⋮ Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces ⋮ Convergence of an iterative algorithm for common solutions for zeros of maximal accretive operator with applications ⋮ Algorithms for a system of general variational inequalities in Banach spaces ⋮ Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces ⋮ Strong convergence of an iterative algorithm for variational inequalities in Banach spaces ⋮ Finite termination of inexact proximal point algorithms in Hilbert spaces ⋮ An inexact proximal-type algorithm in Banach spaces ⋮ Strong convergence of an iterative method for inverse strongly accretive operators ⋮ Three-step Mann iterations for a general system of variational inequalities and an infinite family of nonexpansive mappings in Banach spaces ⋮ Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces ⋮ Modified extragradient methods for a system of variational inequalities in Banach spaces ⋮ A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping ⋮ Strong convergence of a parallel iterative algorithm in a reflexive Banach space ⋮ A regularization method for treating zero points of the sum of two monotone operators ⋮ Weak and strong convergence theorems for maximal monotone operators in a Banach space ⋮ Hybrid and relaxed Mann iterations for general systems of variational inequalities and nonexpansive mappings ⋮ Some results on an infinite family of accretive operators in a reflexive Banach space ⋮ Strong convergence of modified Mann iterations ⋮ A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banach spaces ⋮ Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces ⋮ Strong convergence of modified Mann iterations for a countable family of nonexpansive mappings ⋮ Forward-backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators ⋮ Equivalent theorems of the convergence between proximal type algorithms ⋮ Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces ⋮ Hybrid extragradient methods for finding zeros of accretive operators and solving variational inequality and fixed point problems in Banach spaces ⋮ Unnamed Item ⋮ Iterations for systems of variational inequalities, fixed points of pseudocontractions and zeros of accretive operators ⋮ Iterative algorithms with errors for zeros of accretive operators in Banach spaces ⋮ Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces
