Weak and Strong Convergence Theorems for a Nonexpansive Mapping and an Equilibrium Problem
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- Tada, A. & Takahashi, W. J Optim Theory Appl (2007) 133: 359. doi:10.1007/s10957-007-9187-z
In this paper, we introduce two iterative sequences for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in a Hilbert space. Then, we show that one of the sequences converges strongly and the other converges weakly.
KeywordsEquilibrium problems Nonexpansive mappings Firmly nonexpansive mappings Weak and strong convergence Monotonicity
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