Convergence Theorems for Accretive Operators in Banach Spaces

Yan Guo; Ji Wei He; Yan Mei Yang

doi:10.4028/www.scientific.net/AMM.50-51.224

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 50-51Convergence Theorems for Accretive Operators in...

Convergence Theorems for Accretive Operators in Banach Spaces

Abstract:

In this paper, a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of the variational inequality for an inverse-strongly accretive operator in a 2-uniformly smooth Banach space was introduced . It was verified that the sequence converged to a common element of two sets.

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Periodical:

Applied Mechanics and Materials (Volumes 50-51)

Pages:

224-228

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.50-51.224

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Online since:

February 2011

Authors:

Yan Guo, Ji Wei He, Yan Mei Yang

Keywords:

2-Uniformly Smooth Banach Space, Inverse-Strongly Accretive, Nonexpansive Mapping, Variational Inequality

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References

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