Strong Vector Equilibrium Problems on Noncompact Sets
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1

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In this paper, by using the famous Brouwer fixed point theorem, some existence theorems of strong efficient solutions for the strong vector equilibrium problems are obtained on noncompact sets of general real Hausdorff topological vector spaces without assuming that the dual of the ordering cone has a weak${}^*$ compact base. Moreover, the closeness and the convexity of the strong efficient solution sets are discussed.
Classification : 47J20, 49J40, 90C30.
San-Hua Wang; Qiu-Ying Li; Jun-Yi Fu. Strong Vector Equilibrium Problems on Noncompact Sets. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a10/
@article{BMMS_2012_35_1_a10,
     author = {San-Hua Wang and Qiu-Ying Li and Jun-Yi Fu},
     title = {Strong {Vector} {Equilibrium} {Problems} on {Noncompact} {Sets}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_1_a10/}
}
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