Abstract
In this paper, we introduce two algorithms for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a real Hilbert space. Furthermore, we prove that the proposed algorithms converge strongly to a solution of the minimization problem of finding $x^* \in \Gamma$ such that $\left\| x^* \right\| = \min_{x \in \Gamma} \|x\|$ where $\Gamma$ stands for the intersection set of the solution set of the equilibrium problem and the fixed points set of a nonexpansive mapping.
Citation
Y. Yao. Y. C. Liou. M. M. Wong. "ALGORITHMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS APPROACH TO MINIMIZATION PROBLEMS." Taiwanese J. Math. 14 (5) 2073 - 2089, 2010. https://doi.org/10.11650/twjm/1500406033
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