Yuan-Heng Wang, Yan Li, "Viscosity Iterative Approximating the Common Fixed Points of Non-expansive Semigroups in Banach Spaces," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Yuan-Heng Wang, Yan Li. Viscosity Iterative Approximating the Common Fixed Points of Non-expansive Semigroups in Banach Spaces.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Viscosity Iterative Approximating the Common Fixed Points of Non-expansive Semigroups in Banach Spaces
Authors: ,
Abstract: Let C be a closed convex subset of a reflexive and strictly convex Banach space E and F = {T(t); t > 0} be a non-expansive semigroup on the C with the nonempty set of their common fixed points. The purpose of this paper is to study a new viscosity iterative method for a non-expansive semigroup and weakly contraction mappings. And it is proved that the new iterative approximate sequences converge strongly to the solution of a certain variational inequality. These results improve and extend some recent results of the other authors.
Keywords:
Non-expansive semigroup, Common fixed point, Uniformly G^ateaux differentiable norm, Weakly contraction, Iterative approximation, Strong convergence
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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