Iterative scheme for a nonexpansive mapping, an η-strictly pseudo-contractive mapping and variational inequality problems in a uniformly convex and 2-uniformly smooth Banach space-Reference-Cited by-同舟云学术

Iterative scheme for a nonexpansive mapping, an η-strictly pseudo-contractive mapping and variational inequality problems in a uniformly convex and 2-uniformly smooth Banach space

Published:2013-02-01 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Kangtunyakarn Atid

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1186/1687-1812-2013-23.pdf

Reference15 articles.

1. Reich S: Asymptotic behavior of contractions in Banach spaces. J. Math. Anal. Appl. 1973, 44: 57–70. 10.1016/0022-247X(73)90024-3

2. Aoyama K, Iiduka H, Takahashi W: Weak convergence of an iterative sequence for accretive operators in Banach spaces. Fixed Point Theory Appl. 2006., 2006: Article ID 35390. doi:10.1155/FPTA/2006/35390

3. Chang SS, Lee HWJ, Chan CK: A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization. Nonlinear Anal. 2009, 70: 3307–3319. 10.1016/j.na.2008.04.035

4. Kangtunyakarn A: A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem. Abstr. Appl. Anal. 2011., 2011: Article ID 562689. doi:10.1155/2011/562689

5. Mann WR: Mean value methods in iteration. Proc. Am. Math. Soc. 1953, 4(3):506–510. 10.1090/S0002-9939-1953-0054846-3

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping;Fixed Point Theory and Applications;2015-07-16

2. Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces;Abstract and Applied Analysis;2013

3. Hybrid and Relaxed Mann Iterations for General Systems of Variational Inequalities and Nonexpansive Mappings;Abstract and Applied Analysis;2013