An Iterative Method for Solving the Generalized System of Relaxed Cocoercive Quasivariational Inclusions and Fixed Point Problems of an Infinite Family of Strictly Pseudocontractive Mappings

An Iterative Method for Solving the Generalized System of Relaxed Cocoercive Quasivariational Inclusions and Fixed Point Problems of an Infinite Family of Strictly Pseudocontractive Mappings

We introduce an iterative scheme by the viscosity approximation to find the set of solutions of the generalized system of relaxed cocoercive quasivariational inclusions and the set of common fixed points of an infinite family of strictly pseudocontractive mappings problems in Hilbert spaces. We sugg...

Full description

Saved in:

Bibliographic Details
Main Authors:	Pattanapong Tianchai, Rabian Wangkeeree
Format:	Article
Language:	English
Published:	Wiley 2010-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2010/683584
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Strong Convergence of the Iterative Methods for Hierarchical Fixed Point Problems of an Infinite Family of Strictly Nonself Pseudocontractions
by: Wei Xu, et al.
Published: (2012-01-01)

A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings
by: Poom Kumam, et al.
Published: (2012-01-01)

Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings
by: Lin Xue, et al.
Published: (2022-01-01)

Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces
by: Phayap Katchang, et al.
Published: (2011-01-01)

A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces
by: Rabian Wangkeeree, et al.
Published: (2012-01-01)

The Shrinking Projection Method for Solving Variational Inequality Problems and Fixed Point Problems in Banach Spaces
by: Rabian Wangkeeree, et al.
Published: (2009-01-01)

Further Investigation on the Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities with k-Strict Pseudocontractions
by: Qian-Fen Gong, et al.
Published: (2014-01-01)

An Iterative Method for Solving a System of Mixed Equilibrium Problems, System of Quasivariational Inclusions, and Fixed Point Problems of Nonexpansive Semigroups with Application to Optimization Problems
by: Pongsakorn Sunthrayuth, et al.
Published: (2012-01-01)

An Iterative Algorithm on Approximating Fixed Points of Pseudocontractive Mappings
by: Youli Yu
Published: (2012-01-01)

Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
by: Lu-Chuan Ceng, et al.
Published: (2013-01-01)

A General Composite Algorithms for Solving General Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
by: Rattanaporn Wangkeeree, et al.
Published: (2011-01-01)

Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings
by: Poom Kumam, et al.
Published: (2011-01-01)

On Solving of Constrained Convex Minimize Problem Using Gradient Projection Method
by: Taksaporn Sirirut, et al.
Published: (2018-01-01)

A Viscosity Hybrid Steepest Descent Method for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems of Infinite Family of Strictly Pseudocontractive Mappings and Nonexpansive Semigroup
by: Haitao Che, et al.
Published: (2013-01-01)

Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions
by: Xiaolong Qin, et al.
Published: (2011-01-01)

The Split Feasibility Problems for Countable Families of Asymptotically Strict Pseudocontractions
by: Wei-Qi Deng
Published: (2013-01-01)

Strong Convergence Theorems for a Common Fixed Point of a Family of Asymptotically k-Strict Pseudocontractive Mappings
by: H. Zegeye, et al.
Published: (2013-01-01)

The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
by: Rabian Wangkeeree, et al.
Published: (2012-01-01)

Erratum to “Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions”
by: Xiaolong Qin, et al.
Published: (2012-01-01)

A Strong Convergence Theorem for a Common Fixed Point of Two Sequences of Strictly Pseudocontractive Mappings in Hilbert Spaces and Applications
by: Kasamsuk Ungchittrakool
Published: (2010-01-01)

Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically k-Strict Pseudocontractive in the Intermediate Sense
by: H. Zegeye, et al.
Published: (2013-01-01)

Iterative Methods for Pseudocontractive Mappings in Banach Spaces
by: Jong Soo Jung
Published: (2013-01-01)

Global Bounds for Cocoercive Variational Inequalities
by: Fan Jianghua, et al.
Published: (2007-01-01)

Approximation of a Common Element of the Fixed Point Sets of Multivalued Strictly Pseudocontractive-Type Mappings and the Set of Solutions of an Equilibrium Problem in Hilbert Spaces
by: F. O. Isiogugu
Published: (2016-01-01)

Approximation of a Common Random Fixed Point for a Finite Family of Random Operators
by: Somyot Plubtieng, et al.
Published: (2007-01-01)

Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities
by: Zeqing Liu, et al.
Published: (2004-01-01)

A Viscosity Hybrid Steepest Descent Method for Generalized Mixed Equilibrium Problems and Variational Inequalities for Relaxed Cocoercive Mapping in Hilbert Spaces
by: Wanpen Chantarangsi, et al.
Published: (2010-01-01)

Strong and Weak Convergence Theorems for an Infinite Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces
by: Shih-sen Chang, et al.
Published: (2011-01-01)

The equivalence of Mann iteration and Ishikawa iteration for ψ-uniformly pseudocontractive or ψ-uniformly accretive maps
by: B. E. Rhoades, et al.
Published: (2004-01-01)

Generalized g-quasivariational inequality
by: Rabia Nessah, et al.
Published: (2005-01-01)

On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense
by: Xiaolong Qin, et al.
Published: (2011-01-01)

A Modified Mixed Ishikawa Iteration for Common Fixed Points of Two Asymptotically Quasi Pseudocontractive Type Non-Self-Mappings
by: Yuanheng Wang, et al.
Published: (2014-01-01)

Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces
by: Yongjin Li
Published: (2004-01-01)

On the Convergence of Implicit Picard Iterative Sequences for Strongly Pseudocontractive Mappings in Banach Spaces
by: Shin Min Kang, et al.
Published: (2013-01-01)

On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically ϕ-Strongly Pseudocontractive Mappings
by: Xuewu Wang, et al.
Published: (2012-01-01)

Erratum to “On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense”
by: Xiaolong Qin, et al.
Published: (2012-01-01)

Existence Results for Constrained Quasivariational Inequalities
by: V. V. Motreanu
Published: (2013-01-01)

Perturbed three-step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions
by: M. K. Ahmad, et al.
Published: (2006-01-01)

Iterative Algorithm for Common Fixed Points of Infinite Family of Nonexpansive Mappings in Banach Spaces
by: Songnian He, et al.
Published: (2012-01-01)

A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation
by: Lu-Lin Yan, et al.
Published: (2024-01-01)