A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings
type: Item
instance of: scholarly article
title: A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings
zbMATH Open document ID: 1413.47103
author: Watcharaporn Cholamjiak
author: Nattawut Pholasa
author: Suthep Suantai
published in: Computational and Applied Mathematics
publication date: 2019-01-29T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7007438
zbMATH Keywords: inertial method
zbMATH Keywords: inclusion problem
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: forward-backward algorithm
zbMATH Keywords: weak convergence
zbMATH Keywords: strong convergence
zbMATH Keywords: shrinking projection method
zbMATH Keywords: quasi-nonexpansive mapping
MaRDI profile type: Publication
full work available at URL: s40314-018-0661-z
OpenAlex ID: W2805544999
cites work: Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
cites work: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
cites work: Fixed point theorems for set-valued mappings of contractive type
cites work: Quelques propriétés des opérateurs angle-bornes et n-cycliquement monotones
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
cites work: NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
cites work: Convergence theorems for fixed points of multivalued strictly pseudocontractive mappings in Hilbert spaces
cites work: A multiprojection algorithm using Bregman projections in a product space
cites work: Fixed point theorems for hybrid multivalued mappings in Hilbert spaces
cites work: Signal Recovery by Proximal Forward-Backward Splitting
cites work: Inertial accelerated algorithms for solving a split feasibility problem
cites work: Fixed points of generalized contractive multi-valued mappings
cites work: Q4000472
cites work: The fixed point property for multivalued nonexpansive mappings
cites work: Q4150254
cites work: On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
cites work: Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
cites work: Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
cites work: Nash and Walras equilibrium via Brouwer
cites work: Q3322631
cites work: Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
cites work: Fixed Points by a New Iteration Method
cites work: Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces
cites work: A generalization of Brouwer's fixed point theorem
cites work: A one-step iterative process for two multivalued nonexpansive mappings in Banach spaces
cites work: Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
cites work: Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
cites work: Splitting Algorithms for the Sum of Two Nonlinear Operators
cites work: Q5173858
cites work: Forward-backward splitting methods for accretive operators in Banach spaces
cites work: An inertial forward-backward algorithm for monotone inclusions
cites work: Mean Value Methods in Iteration
cites work: Strong convergence of the CQ method for fixed point iteration processes
cites work: Convergence of a splitting inertial proximal method for monotone operators
cites work: Multi-valued contraction mappings
cites work: Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
cites work: New approximation schemes for general variational inequalities
cites work: Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
cites work: Q3989706
cites work: Q3491338
cites work: Some methods of speeding up the convergence of iteration methods
cites work: Approximate selections, best approximations, fixed points, and invariant sets
cites work: Q4793526
cites work: On the maximal monotonicity of subdifferential mappings
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
cites work: SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS
cites work: Convergence of iterative algorithms for multivalued mappings in Banach spaces
cites work: Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
cites work: Nonlinear functional analysis. Fixed point theory and its applications

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A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings (Wikidata QID)
Wikidata QID: Q129720299

A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings (DOI)
DOI: 10.1007/S40314-018-0661-Z