Mixed equilibrium problems with relaxed \(\alpha\)-monotone mapping in Banach spaces (Q369363)
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scientific article; zbMATH DE number 6210944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed equilibrium problems with relaxed \(\alpha\)-monotone mapping in Banach spaces |
scientific article; zbMATH DE number 6210944 |
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Mixed equilibrium problems with relaxed \(\alpha\)-monotone mapping in Banach spaces (English)
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24 September 2013
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The purpose of this paper is to introduce the concept of the relaxed \(\alpha\)-monotone mappings for bi-functions and to obtain the existence of solutions for equilibrium problems with relaxed \(\alpha\)-monotone mappings in reflexive Banach spaces by using the KKM technique. The results presented in this paper improve and extend many known results in the recent literature.
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equilibrium problem
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mixed equilibrium problem
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relaxed \(\alpha\)-monotonicity
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KKM mapping
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