weak convergence theorems for strictly pseudocontractive mappings and generalized mixed equilibrium problems
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2012
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Abstract
We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-strongly-monotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme converges weakly to a common element of the above three sets under suitable control conditions. The results in this paper substantially improve, develop, and complement the previous well-known results in this area.
| Reference Key |
jung2012journalweak
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|---|---|
| Authors | ;Jong Soo Jung |
| Journal | Chemico-biological interactions |
| Year | 2012 |
| DOI |
10.1155/2012/384108
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| URL | |
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