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The general iterative scheme for semigroups of nonexpansive mappings and variational inequalities with applications

โœ Scribed by Yang, Liping


Book ID
120431934
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
233 KB
Volume
57
Category
Article
ISSN
0895-7177

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In this paper, we consider the problem of convergence of an iterative algorithm for a system of generalized variational inequalities and a nonexpansive mapping. Strong convergence theorems are established in the framework of real Banach spaces.

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Recently, Ceng, Guu and Yao introduced an iterative scheme by viscosity-like approximation method to approximate the fixed point of nonexpansive mappings and solve some variational inequalities in Hilbert space (see Ceng et al. (2009) [9]). Takahashi and Takahashi proposed an iteration scheme to sol