A new hybrid algorithm for a system of equilibrium problems and variational inclusion |
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Authors: | Thanyarat Jitpeera Poom Kumam |
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Institution: | (1) School of Mathematics, Chongqing Normal University, Chongqing, 400047, PR China |
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Abstract: | The purpose of this paper is to consider a shrinking projection method of finding the common element of the set of common
fixed points for a finite family of a ξ-strict pseudo-contraction, the set of solutions of a systems of equilibrium problems
and the set of solutions of variational inclusions. Then, we prove strong convergence theorems of the iterative sequence generated
by the shrinking projection method under some suitable conditions in a real Hilbert space. Our results improve and extend
recent results announced by Peng, Wang, Shyu and Yao (J Inequal Appl, 2008:15, Article ID 720371, 2008), Takahashi, Takeuchi and Kubota (J Math Anal Appl 341:276–286, 2008), Takahashi and Takahashi (Nonlinear Anal 69:1025–1033, 2008) and many others. |
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