A viscosity iterative scheme for inverse-strongly accretive operators in Banach spaces

作者：Katchang Phayap^*; Khamlae Yaowalux; Kumam Poom

来源：Journal of Computational Analysis and Applications, 2010, 12(3): 678-686.

• Inverse-strongly accretive mapping
• Fixed point
• Iteration
• Banach space
• Variational inequality
• Viscosity approximation method

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.], Yeol Je Cho et al., [Strong convergence of an iterative algorithm for accretive operators in Banach spaces, J. Comput. Anal. and Appl., vol. 10, no. 1, 113 125 2008.] and many others.

• 出版日期2010-7