# A Note on the Paper 'Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces'

## Related Articles

- ITERATIVE ALGORITHMS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS. Yisheng Song; Xiao Liu // Journal of Concrete & Applicable Mathematics;Oct2010, Vol. 8 Issue 4, p645
In this paper, strong convergence of Modified Mann type iteration is used to find some common fixed point of a countable family {Tn}n=1+âˆž of nonexpansive mappings in Banach space, and their proof is different from ones of Aoyama et al. [Approximation of common fixed points of a countable...

- Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications. Sumei Ai; Yongfu Su // Journal of Applied Mathematics;2012, p1
The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive mappings in a Banach space with new method of...

- A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications. Deng, Wei-Qi // Abstract & Applied Analysis;2012, p1
By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT...

- Strong convergence theorem for totally quasi- Ï•-asymptotically nonexpansive multi-valued mappings under relaxed conditions. Qian, Shanguang // Fixed Point Theory & Applications;11/19/2015, Vol. 2015 Issue 1, p1
We construct a relaxed hybrid shrinking iteration algorithm for approximating common fixed points of a countable family of totally quasi- Ï•-asymptotically nonexpansive multi-valued mappings. A strong convergence theorem for solving generalized mixed equilibrium problems is established in the...

- Strong Convergence Theorem for Bregman Strongly Nonexpansive Mappings and Equilibrium Problems in Reflexive Banach Spaces. Jinhua Zhu; Shih-sen Chang; Min Liu // Journal of Applied Mathematics;2013, p1
By using a newhybridmethod, a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of Bregman strongly nonexpansive mappings in a reflexive Banach space is proved.

- On Generalized Mixed Equilibrium Problems and Fixed Point Problems with Applications. Jia Wei Chen; Zhong Ping Wan; Yeol Je Cho // WSEAS Transactions on Mathematics;Feb2013, Vol. 12 Issue 2, p117
In this paper, we introduce and investigate two new generalized mixed equilibrium problems and explore the relationship between them and the properties of their solutions in Banach spaces. Based on the general- ized f-projection, we construct hybrid algorithms to find common fixed points of a...

- Hybrid Algorithm of Fixed Point for Weak Relatively Nonexpansive Multivalued Mappings and Applications. Jingling Zhang; Yongfu Su; Qingqing Cheng // Abstract & Applied Analysis;2012, p1
The purpose of this paper is to present the notion of weak relatively nonexpansive multivalued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces. The weak relatively nonexpansive multivalued mappings are...

- Strong and Weak Convergence Theorems for Equilibrium Problems and Weak Relatively Uniformly Nonexpansive Multivalued Mappings in Banach Spaces. Zi-Ming Wang // Abstract & Applied Analysis;2012, p1
Equilibrium problem and fixed point problem are considered. A general iterative algorithm is introduced for finding a common element of the set of solutions to the equilibrium problem and the common set of fixed points of two weak relatively uniformly nonexpansive multivalued mappings....

- Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-É¸-Asymptotically Nonexpansive Mappings in Banach Spaces. Jinhua Zhu; Chang, Shih-Sen; Min Liu // Journal of Applied Mathematics;2012, p1
The purpose of this paper is first to introduce the concept of total quasi-É¸-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases and then to use a hybrid algorithm to introduce a new iterative scheme for finding a common element of the set of...