Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 133, Issue 3, Pages 359-370Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-007-9187-z
Keywords
equilibrium problems; nonexpansive mappings; firmly nonexpansive mappings; weak and strong convergence; monotonicity
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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.
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