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拓扑向量格中锥强拟凸集值映射的有效解集的连通性

CONNECTEDNESS OF EFFICIENT SOLUTION SETS FOR CONE--STRONGLY QUASICONVEX SET VALUED MAPS IN TOPOLOGICAL VECTOR LATTICE
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摘要 本文引进了锥拟凸、锥强拟凸集值映射以及锥强拟凸集的概念,并讨论了拓扑向量格中锥强拟凸集值映射的有效解集的连通性。 In this paper,we introduce the concepts of cone-quasiconvex set-valued map andcone-strongly quasiconvex set-valued map and cone -strongly quasiconvex set. By using theseconcepts,we discuss the connectedness of the efficient solution sets of cone-strongly quasi-convex vector optimization for set-valued maps in toplogical vector lattice.
作者 龚循华
机构地区 南昌大学数学系
出处 《南昌大学学报(理科版)》 CAS 1993年第3期94-98,共5页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金
关键词 凸集 凸集值映射 连通性 拓扑向量 cone-quasiconvex set-valued map cone-strongly quasiconvex set-valued map cone-strongly quasiconvex set connectedness
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  • 1A. R. Warburton. Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives[J] 1983,Journal of Optimization Theory and Applications(4):537~557 被引量:1
  • 2G. R. Bitran,T. L. Magnanti. The structure of admissible points with respect to cone dominance[J] 1979,Journal of Optimization Theory and Applications(4):573~614 被引量:1
  • 3P. H. Naccache. Connectedness of the set of nondominated outcomes in multicriteria optimization[J] 1978,Journal of Optimization Theory and Applications(3):459~467 被引量:1

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