Abstract
The purpose of this paper is to suggest and analyze a new iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a commutative family of nonexpansive mappings in a Hilbert space. Then we prove a strong convergence theorem which is connected with the results of Takahashi and Takahashi [13] and Yao and Noor [147]. Using this result, we obtain two corollaries which improve and extend their results.
Citation
L. C. Ceng. N. C. Wong. "VISCOSITY APPROXIMATION METHODS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF NONLINEAR SEMIGROUPS." Taiwanese J. Math. 13 (5) 1497 - 1513, 2009. https://doi.org/10.11650/twjm/1500405556
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