A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping |
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| Authors: | Zi-Ming Wang Yongfu Su Sun Young Cho Wandong Lou |
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| Institution: | 1.Department of Foundation,Shandong Yingcai University,Jinan,People’s Republic of China;2.Department of Mathematics,Tianjin Polytechnic University,Tianjin,People’s Republic of China;3.Department of Mathematics,Gyeongsang National University,Jinju,Korea |
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| Abstract: | In this paper, a new iterative algorithm involving nonexpansive mapping in Hilbert space is proposed and proved to be strongly
convergent to a point which is simultaneously a fixed point of a nonexpansive mapping and a solution of an equilibrium problem.
The results of the paper extend previous results, see, for instance, Takahashi and Takahashi (J Math Anal Appl 331:506–515,
2007), and other results in this field. Moreover, this algorithm is applied to find zeros of a maximal monotone operator and
solve an optimization problem. |
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