An iterative method for common solution to various problems
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In this paper, we introduce a new iterative method to nd a common solution of a generalized mixed equilibrium problem, a vari- ational inequality problem and a hierarchical xed point problem for demicontinuous nearly nonexpansive mappings. We prove that our method converges strongly to a common solution of all above problems. It is worth noting that Main Theorem is proved without usual demiclosed- ness condition. As our iterative method generalizes several methods, the results here improve and extend many recent results.
Abstract
In this paper, we introduce a new iterative method to nd a common solution of a generalized mixed equilibrium problem, a vari- ational inequality problem and a hierarchical xed point problem for demicontinuous nearly nonexpansive mappings. We prove that our method converges strongly to a common solution of all above problems. It is worth noting that Main Theorem is proved without usual demiclosed- ness condition. As our iterative method generalizes several methods, the results here improve and extend many recent results.
참고문헌 (16)
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