Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings
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- 作者：Nawitcha Onjai-uea (1)
Phayap Katchang (2)
Poom Kumam (1) - 关键词：inverse ; strongly accretive operator ; fixed point ; general system of finite variational inequalities ; sunny nonexpansive retraction ; weak contraction ; nonexpansive semigroups
- 刊名：Fixed Point Theory and Applications
- 出版年：2012
- 出版时间：December 2012
- 年：2012
- 卷：2012
- 期：1
- 全文大小：240KB
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Phayap Katchang (2)
Poom Kumam (1)
1. Department of Mathematics, Faculty of Science, King Mongkut鈥檚 University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand
2. Department of Mathematics and Statistics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak, Tak, 63000, Thailand - ISSN：1687-1812
文摘
In this paper, we prove a strong convergence theorem for finding a common solution of a general system of finite variational inequalities for finite different inverse-strongly accretive operators and solutions of fixed point problems for a nonexpansive semigroup in a Banach space based on a viscosity approximation method by using weak contraction mappings. Moreover, we can apply the above results to find the solutions of the class of k-strictly pseudocontractive mappings and apply a general system of finite variational inequalities into a Hilbert space. The results presented in this paper extend and improve the corresponding results of Ceng et al. (2008), Katchang and Kumam (2011), Wangkeeree and Preechasilp (2012), Yao et al. (2010) and many other authors. MSC: 47H05, 47H10, 47J25.