De-Ning Qu, Cao-Zong Cheng, "Existence and Iterative Algorithm of Solutions for a New System of Generalized Set-Valued Mixed Equilibrium-Like Problems in Banach Spaces," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
De-Ning Qu, Cao-Zong Cheng. Existence and Iterative Algorithm of Solutions for a New System of Generalized Set-Valued Mixed Equilibrium-Like Problems in Banach Spaces.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Existence and Iterative Algorithm of Solutions for a New System of Generalized Set-Valued Mixed Equilibrium-Like Problems in Banach Spaces
Authors: ,
Abstract: A new system of generalized set-valued mixed equilibrium-like problems (in short, S-GMELP) in Ba- nach spaces is discussed. In order to obtain the existence of solutions of S-GMELP, a system of related auxiliary problems (in short, S-AP) is established. On the basis of the existence and uniqueness of solutions of the S-AP, an iterative algorithm for the S-GMELP is constructed. It is proved that the iterative sequence converges some solution of S-GMELP. Finally, an example is given to well exemplify our main result.
Keywords:
Equilibrium-like problem, Auxiliary principle technique, Existence, Iterative algorithm, Banach space
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *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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