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On Generalized Vector Equilibrium Problems

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Abstract

A new generalized vector equilibrium problem involving set-valued mappings and the proper quasi-concavity of set-valued mappings in topological vector spaces are introduced; its existence theorems and the convexity of the solution sets are established.

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Correspondence to Jun-yi Fu.

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Supported by the Natural Science Foundation of Jiangxi Province (No. 0211035) and Principal Foundations of South China Agricultural University (No.2004K055, No.2005K023).

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Wan, Ah., Fu, Jy. & Mao, Wh. On Generalized Vector Equilibrium Problems. Acta Mathematicae Applicatae Sinica, English Series 22, 21–26 (2006). https://doi.org/10.1007/s10255-005-0280-5

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  • DOI: https://doi.org/10.1007/s10255-005-0280-5

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