Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems

• Autorzy: Katchang P. , Kumam P.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we propose a modified Mann iterative algorithm by two hybrid projection methods for finding a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of a mixed equilibrium problem in a real Hilbert space. Then, we obtain interesting and new strong convergence theorems for the sequences generated by these processes by using the hybrid projection methods in the mathematical programming. The results presented in this paper extend and improve the corresponding one by Nakajo and Takahashi [J. Math. Anal. Appl. 279 (2003), 372-379].

Słowa kluczowe

EN

equilibrium problem; strong convergence; nonexpansive semigroup; Hilbert space; hybrid projection methods

PL

zagadnienie równowagi; silna zbieżność; przestrzeń Hilberta; hybrydowe metody projekcji

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 2
• Strony: 259--273
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Katchang P.

autor

Kumam P.

• Department of Mathematics and Statistics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak, Tak 63000, Thailand,

Bibliografia

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