Xiaolong Qin

Strong convergence of shrinking projection methods for quasi-φ-nonexpansive mappings and equilibrium problems

The purpose of this paper is to consider the convergence of a shrinking projection method for a finite family of quasi-@f-nonexpansive mappings and an equilibrium problem. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

On hybrid projection methods for asymptotically quasi-φ-nonexpansive mappings

The purpose of this paper is to consider the problem of approximating a common fixed point of two asymptotically quasi-@f-nonexpansive mappings based on hybrid projection methods. Strong convergence theorems are established in a real Banach space.

Iterative algorithms with errors for zero points of m-accretive operators

In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors. Strong convergence theorems for zeros of m-accretive operators are established in a real Banach space.MSC:47H05, 47H09, 47J25, 65J15.

An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings

In this paper, an extragradient-type method is introduced for finding a common element in the solution set of generalized equilibrium problems, in the solution set of classical variational inequalities and in the fixed point set of strictly pseudocontractive mappings. It is proved that the iterative sequence generated in the purposed extragradient-type iterative process converges weakly to some common element in real Hilbert spaces.

Iterative processes for common fixed points of two different families of mappings with applications

In this paper, an implicit iterative process is investigated for common fixed points of two different families of nonlinear mappings. Theorems of strong and weak convergence are established in real Hilbert spaces. As an application of the iterative process, inclusion problems are considered.

Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings

The purpose of this paper is to consider the problem of finding a common element in the solution set of equilibrium problems and in the fixed point set of a strictly pseudocontractive mapping. Strong convergence of the purposed hybrid projection algorithm is obtained in Hilbert spaces.

Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions

Abstract In this work, a projection algorithm is considered for treating strongly continuous semigroups of demicontinuous pseudocontractions. Theorems of strong convergence of fixed points are established in the framework of real Hilbert spaces.

Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.

A regularization method for treating zero points of the sum of two monotone operators

In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.

Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings

A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.