Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems

• Autorzy: Kang J. , Su Y. , Zhang H.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce some iterative schemes for findin a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [9], S. Plubtieng and R. Punpaeng [7], X. Qin et al. [8] and S. Takahashi and W. Takahashi [10].

Słowa kluczowe

EN

strict pseudo-contractive mapping; variational inequality; equilibrium problem; fixed point

PL

nierówności wariacyjne; problem równowagi

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 1--13
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Kang J.

autor

Su Y.

autor

Zhang H.

• Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China,

Bibliografia

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