Weak and Strong Convergence Theorems for a Nonexpansive Mapping and an Equilibrium Problem

A. Tada and W. Takahashi ()
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A. Tada: Tokyo Institute of Technology
W. Takahashi: Tokyo Institute of Technology

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 3, No 6, 359-370

Abstract: Abstract 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.

Keywords: Equilibrium problems; Nonexpansive mappings; Firmly nonexpansive mappings; Weak and strong convergence; Monotonicity (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (16)

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DOI: 10.1007/s10957-007-9187-z

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