Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria

Strong and Weak Convergence Criteria of Composite Iterative Algorithms for Systems of Generalized Equilibria

We first introduce and analyze one iterative algorithm by using the composite shrinking projection method for finding a solution of the system of generalized equilibria with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inequalities, and the comm...

Full description

Bibliographic Details
Main Authors:	Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen, Zhao-Rong Kong
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/513678

Similar Items

Multistep Hybrid Iterations for Systems of Generalized Equilibria with Constraints of Several Problems
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Strong Convergence of a General Iterative Method for a Countable Family of Nonexpansive Mappings in Banach Spaces
by: Chin-Tzong Pang, et al.
Published: (2013-01-01)

Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems
by: Lu-Chuan Ceng, et al.
Published: (2019-01-01)

Strong and weak convergence of Ishikawa iterations for best proximity pairs
by: Gabeleh Moosa, et al.
Published: (2020-02-01)

Relaxed Iterative Algorithms for Generalized Mixed Equilibrium Problems with Constraints of Variational Inequalities and Variational Inclusions
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Weak and strong convergence theorems of modified sp-iterations for generalized asymptotically quasi-nonexpansive mappings
by: Saluja G.S.
Published: (2016-01-01)

General iterative methods for systems of variational inequalities with the constraints of generalized mixed equilibria and fixed point problem of pseudocontractions
by: Qian-Wen Wang, et al.
Published: (2018-11-01)

Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Iterative Schemes for Convex Minimization Problems with Constraints
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces
by: Yanlai Song, et al.
Published: (2014-01-01)

Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings
by: Jung Jong Soo, et al.
Published: (2007-01-01)

Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings
by: Balwant Singh Thakur, et al.
Published: (2007-07-01)

Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators
by: Berinde Vasile
Published: (2018-12-01)

Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces
by: Chin-Tzong Pang, et al.
Published: (2014-01-01)

Strong Convergence of an Iterative Algorithm for Hierarchical Problems
by: Poom Kumam, et al.
Published: (2014-01-01)

Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Strong Convergence Theorems for Variational Inequalities and Common Fixed-Point Problems Using Relaxed Mann Implicit Iteration Methods
by: Lu-Chuan Ceng, et al.
Published: (2019-05-01)

On Weak and Strong Convergence Theorems of Modified SP-Iteration Scheme for Total Asymptotically Nonexpansive Mappings
by: G. S. Saluja
Published: (2016-01-01)

Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings
by: Satit Saejung, et al.
Published: (2009-01-01)

Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings
by: Nilsrakoo Weerayuth, et al.
Published: (2008-01-01)

On Weak and Strong Convergence Theorems of Modified SP-Iteration Scheme for Total Asymptotically Nonexpansive Mappings
by: G. S. Saluja
Published: (2016-01-01)

Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces
by: Dao-Jun Wen, et al.
Published: (2014-01-01)

Strong convergence of modified Noor iterations
by: Yongfu Su, et al.
Published: (2006-01-01)

Strong Convergence for Hybrid S-Iteration Scheme
by: Shin Min Kang, et al.
Published: (2013-01-01)

Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule
by: Long He, et al.
Published: (2021-08-01)

Iterative Methods of Weak and Strong Convergence Theorems for the Split Common Solution of the Feasibility Problems, Generalized Equilibrium Problems, and Fixed Point Problems
by: Shahram Rezapour, et al.
Published: (2020-01-01)

Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space
by: Farrukh Mukhamedov, et al.
Published: (2010-01-01)

Strong and Weak Convergence of Modified Mann Iteration for New Resolvents of Maximal Monotone Operators in Banach Spaces
by: Somyot Plubtieng, et al.
Published: (2009-01-01)

Variational Inequalities Approaches to Minimization Problems with Constraints of Generalized Mixed Equilibria and Variational Inclusions
by: Lu-Chuan Ceng, et al.
Published: (2019-03-01)

Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces
by: Rattanaporn Wangkeeree
Published: (2011-01-01)

Strong Convergence of an Iterative Method for Inverse Strongly Accretive Operators
by: Hao Yan
Published: (2008-01-01)

Strong Convergence of an Iterative Method for Inverse Strongly Accretive Operators
by: Yan Hao
Published: (2008-09-01)

Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators
by: Zhangsong Yao, et al.
Published: (2021-01-01)

Degree of Convergence of Iterative Algorithms for Boundedly Lipschitzian Strong Pseudocontractions
by: Su Yongfu, et al.
Published: (2010-01-01)

Degree of Convergence of Iterative Algorithms for Boundedly Lipschitzian Strong Pseudocontractions
by: Songnian He, et al.
Published: (2010-01-01)

Algorithms of Common Solutions for Generalized Mixed Equilibria, Variational Inclusions, and Constrained Convex Minimization
by: Lu-Chuan Ceng, et al.
Published: (2014-01-01)

Sigma-demicontractivity and Strong Convergence of Mann Iteration
by: Irina Maria Terfăloagă, et al.
Published: (2018-11-01)

Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings
by: Cho SunYoung, et al.
Published: (2010-01-01)

Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings
by: Shin Min Kang, et al.
Published: (2010-01-01)

Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces
by: Husain Piri, et al.
Published: (2010-01-01)