Extragradient MethodsWith CQ Technique for Fixed Point Problems and Equilibrium Problems

Extragradient MethodsWith CQ Technique for Fixed Point Problems and Equilibrium Problems

In this paper, we study iterative algorithms for solving fixed point problems and equilibrium problems in Hilbert spaces. We present an extragradient algorithm with CQ technique for finding a common element of the fixed points of pseudocontractive operators and the solutions of pseudomonotone equili...

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Veröffentlicht in:Filomat 2020-01, Vol.34 (14), p.4783-4793
Hauptverfasser: Yao, Zhangsong, Liou, Yeong-Cheng, Zhu, Li-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:In this paper, we study iterative algorithms for solving fixed point problems and equilibrium problems in Hilbert spaces. We present an extragradient algorithm with CQ technique for finding a common element of the fixed points of pseudocontractive operators and the solutions of pseudomonotone equilibrium problems. Strong convergence result of the proposed algorithm is proved.
ISSN:0354-5180
DOI:10.2298/FIL2014783Y