Existence results for proper efficient solutions of vector equilibrium problems and applications |
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| Authors: | Adela Cap?t? |
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| Institution: | (1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, People’s Republic of China;(2) Department of Mathematics, China West Normal University, Nanchong, Sichuan, People’s Republic of China;(3) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan; |
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| Abstract: | In this paper, we present sufficient conditions for the existence of Henig efficient solutions, superefficient solutions and
Henig globally efficient solutions of a vector equilibrium problem in topological vector spaces, using a well-known separation
theorem in infinite dimensional spaces. As an application, using a scalarization technique, existence results for proper efficient
solutions of generalized vector variational inequalities are given. |
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