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- Title
A viscosity iterative scheme for inverse-strongly accretive operators in Banach spaees.
- Authors
Katchang, Phayap; Khamlae, Yaowalux; Kumam, Poom
- Abstract
In this paper is to introduce a new iterative scheme for finding solutions of a variational inequality for inverse-strongly accretive mappings with a viscosity approximation method in Banach spaces. We obtain a strong convergence theorem in Banach spaces under some parameters controlling conditions. Our results extend and improve the recent results of Yan Hao [Iterative algorithms for inverse-strongly accretive mappings with applications, J. Appl. Math. Comput., 31, 193-202, 2009.], YeoI Je Cho et al., [Strong convergence of an iterative algorithm for accretive operators in Banach spaces, J. Comput. Anal. and AppI., vol. 10, no. 1, 113-125, 2008.] and many others.
- Subjects
SCHEMES (Algebraic geometry); STOCHASTIC convergence; VARIATIONAL inequalities (Mathematics); BANACH spaces; YAN Hao; YEOI Je Cho; ALGORITHMS; FIXED point theory
- Publication
Journal of Computational Analysis & Applications, 2010, Vol 12, Issue 3, p678
- ISSN
1521-1398
- Publication type
Article