Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (2): 98-105.doi: 10.16088/j.issn.1001-6600.2022010701
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YANG Xiufeng, FAN Jianghua*
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[1] ANSARI Q H,OETTLI W,SCHLÄGER D.A generalization of vectorial equilibria[J].Mathematical Methods of Operations Research,1997,46(2): 147-152. [2] GONG X H.Connectedness of the solution sets and scalarization for vector equilibrium problems[J].Journal of Optimization Theory and Applications,2007,133(2): 151-161. [3] LIU Q Y, LONG X J, HUANG N J.Connectedness of the sets of weak efficient solutions for generalized vector equilibrium problems[J].Mathematica Slovaca,2012,62(1): 123-136. [4] HAN Y,HUANG N J. Some characterizations of the approximate solutions to generalized vector equilibrium problems[J].Journal of Industrial and Management Optimization,2015,12(3): 1135-1151. [5] CAPAǍTAǍ A.Existence results for globally efficient solutions of vector equilibrium problems via a generalized KKM principle[J].Acta Mathematica Scientia,2017,37(2): 463-476. [6] XU Y D,ZHANG P P.Connectedness of solution sets of strong vector equilibrium problems with an application[J].Journal of Optimization Theory and Applications,2018,178(1): 131-152. [7] 巨兴兴,陈加伟,张俊容,等.含参广义向量均衡问题近似解集的连通性[J].应用数学和力学,2018,39(10): 1206-1212. [8] SHAO C Y,PENG Z Y, XIAO Y B,et al.Connectedness of solution sets for generalized vector equilibrium problems via free-disposal sets in complete metric space[J].Optimization Letters,2022,16(7):2073-2093. [9] 李科科,彭再云,赵勇,等.含参广义集值强向量平衡问题的稳定性[J].数学学报,2019,62(4): 653-662. [10] 钟丽明,范江华.凸向量优化问题弱有效解集的连通性[J].广西师范大学学报(自然科学版),2021,39(3): 62-68. [11] 赖遵远,陈剑尘,刘富荣.含参数集值向量优化问题强有效点集的连通性[J].数学的实践与认识,2021,51(21):242-249. [12] FAN K.A generalization of Tychonoff's fixed point theorem[J].Mathematische Annalen,1961,142(3): 305-310. [13] AUBIN J P.Applied nonlinear analysis[M].New York: John Wiley and Sons,1984. [14] WARBURTON A R.Quasiconcave vector maximization: connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives[J].Journal of Optimization Theory and Applications,1983,40(4): 537-557. |
[1] | ZHONG Liming, FAN Jianghua. Connectedness of Weakly Effective Solution Sets for Convex Vector Optimization Problems [J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(3): 62-68. |
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