ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equil...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2011, 26(1), , pp.51-65
Hauptverfasser: Cho, Sun-Young, Kang, Shin-Min, Qin, Xiaolong
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common fixed point of a pair of nonexpansive mappings. In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common fixed point of a pair of nonexpansive mappings. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2011.26.1.051