Ren-Xing Ni, "Strong Convergence of a Hybrid Projection Algorithm for Approximation of a Common Element of Three Sets in Banach Spaces," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Ren-Xing Ni. Strong Convergence of a Hybrid Projection Algorithm for Approximation of a Common Element of Three Sets in Banach Spaces.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Strong Convergence of a Hybrid Projection Algorithm for Approximation of a Common Element of Three Sets in Banach Spaces
Author:
Abstract: In this paper, we construct a new iterative scheme by hybrid projection method and prove strong con- vergence theorems for approximation of a common element of set of common fixed points of an infinite family of asymptotically quasi-?-nonexpansive mappings, set of solutions to a variational inequality problem and set of common solutions to a system of generalized mixed equilibrium problems in a uniformly smooth and 2-uniformly convex real Banach space. Our results extend many important recent results in the literature.
Keywords:
Asymptotically quasi-φ-nonexpansive mapping, Generalized mixed equilibrium problem, Uniformly smooth, 2-Uniformly convex, Hybrid projection method, Banach space
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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