研究方向
向量最佳化的理論及套用研究
學術成果
先後主持科研項目7項,在國內外學術刊物上發表論文30餘篇,並多次擔任國內外期刊雜誌審稿人。
近年主持或參加的科研項目/課題:
(1) 國家自然科學基金委員會, 地區科學基金項目, 11661055, 向量均衡問題的弱有效解算法及其套用研究, 2017-01-01 至 2020-12-31, 36萬元, 結題, 主持
(2)國家自然科學基金委員會, 青年科學基金項目, 11201216,向量均衡問題的疊代算法研究,2013/01-2015/12,22萬元,結題,主持
(3) 國家自然科學基金委員會, 地區科學基金項目, 11661056, 具有約束的稀疏正則最佳化模型及其套用研究, 2017-01-01 至 2020-12-31, 36萬元, 結題, 參與
(4) 國家自然科學基金委員會, 面上項目, 71971102, 時滯微分廣義Nash均衡模型的構建、分析及套用研究, 2020-01-01 至 2023-12-31, 48萬元, 在研, 參與
(5) 國家自然科學基金委員會, 地區科學基金項目, 12061045, 關於圖像復原的改進模型和算法研究, 2021-01-01 至 2024-12-31, 33萬元, 在研, 參與
(6)江西省自然科學基金一般項目,20151BAB201020,弱向量均衡問題的算法及其收斂性探討,2015/01-2017/12,5萬元,已結題,主持
近年發表的代表性論文:
(1) Sanhua Wang,Jinxia Huang,Chuanxi Zhu*,An iterative method for solving the strong vector equilibrium problem with variable domination structure, Optimization, 2018, 67(6): 865-879。
(2) Sanhua Wang*,Qiuying Li,A projection iterative algorithm for strong vector equilibrium problem,Optimization,2015,64(10):2049-2063。
(3) Sanhua Wang,Nanjing Huang*,Donal O'Regan,Generalized quasivariational inclusion problems with applications,Journal of Nonlinear and Convex Analysis,2014,15(6):1261-1277。
(4) Sanhua Wang ,Nanjing Huang*,Donal O'Regan,Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints,Journal of Global Optimization,2013,55(1):189-208。
(5) Sanhua Wang*,Junyi Fu,Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping,Journal of Global Optimization,2009,44(1):99-110。
(6) Sanhua Wang ,Nanjing Huang*,Levitin-polyak well-posedness for generalized quasi-variational inclusion and disclusion problems and optimization problems with constraints,Taiwanese Journal of Mathematics,2012,16(1):237-257。
(7) Sanhua Wang*,Qiuying Li,Junyi Fu,Strong vector equilibrium problems on noncompact sets,Bulletin of the Malaysian Mathematical Sciences Society,2012,35(1):119-132。
(8) Sanhua Wang ,Nanjing Huang,Muming Wong*,Storng levitin-polyak well-posedness for generalized quasi-variational inclusion problems with applications,Taiwanese Journal of Mathematics,2012,16(2):665-690。
(9) Sanhua Wang ,Nanjing Huang*,Generalized implicit inclusion problems on noncompact sets with applications,Bulletin of the Australian Mathematical Society,2011,84(2):261-279。
(10) Junyi Fu*,Sanhua Wang,Generalized strong vector quasi-equilibrium problem with domination structure,Journal of Global Optimization,2013,55(4):839-847。
(11) Jiayu Mao,Wang Sanhua*,Yu Han,The stability of the solution sets for set optimization problems via improvement sets,Optimization,2019,68(11):2168-2190。
(12) Yu Han∗,Sanhua Wang,Nanjing Huang,Arcwise connectedness of the solution sets for set optimization problems,Operations Research Letters,2019,47:168–172。
(13)黃文君,王三華*,張宇新,具變動控制結構的對稱廣義強向量擬均衡問題及其套用,系統科學與數學,2020,40(6):1037-1049。