In this paper, we introduce a new kind of approximate weakly efficient solutions to the set-valued vector equilibrium problems with constraints in locally convex Hausdorff topological vector spaces; then we discuss a relationship between the weakly efficient solutions and approximate weakly efficient solutions. Under the assumption of near cone-subconvexlikeness, by using the separation theorem for convex sets we establish Kuhn-Tucker-type and Lagrange-type optimality conditions for set-valued vector equilibrium problems, respectively.
机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
Long, X. J.
Huang, Y. Q.
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机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
Huang, Y. Q.
Peng, Z. Y.
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机构:
Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
Long, X. J.
Huang, Y. Q.
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
Huang, Y. Q.
Peng, Z. Y.
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China