# 臺灣博碩士論文加值系統

(35.153.100.128) 您好！臺灣時間：2022/01/19 04:19

:::

### 詳目顯示

:

• 被引用:0
• 點閱:141
• 評分:
• 下載:0
• 書目收藏:0
 在本篇文章中,主要處理一些KKM-type定理. 利用這些定理而得到一些相容定理,並且證明出他們之間的等價關係. 最後,應用這些結果去建立推廣向量平衡問題之解的存在.
 In this pager, we deal with KKM-type theorems. With these theorems, we obtain some coincidence theorems and show their equivalences to some KKM-type theorems. We apply these results to establish the existence of the solution to generalized vector equilibrium problems where a bimap f is involved with considering by some sufficient conditions on f .
 1.abstract and introduction........1 2.preliminary......................4 3.KKM-type theorems and coincidence theorems.....9 4.existence result for GVEP......................20 5.reference......................................35
 Blum, E., and Oettli, W.,From Optimization and VariationalInequalities to Equilibrium Problems,The Mathematics Students,Vol. 63, pp. 123-146, 1994.Yuan, G.X.-Z.,KKM Theory and Applications in Nonlinear Analysis,Marcel Dekker, Inc., New York, Basel, 1999.Ansari, Q.H., Wong, N.-C., and Yao, J.-C.,The Existence of Nonlinear Inequalities,Applied Mathematics Letters,Vol. 12, pp. 89-92, 1999.Bianchi, M., and Schaible, S.,Generalized Monotone Bifunctions and Equilibrium Problems},Journal of Optimization Theory and Applications,Vol. 90, pp. 31-43, 1996.Chadli, O., Chbani, Z., and Riahi, H.,Equilibrium Problems and Noncoercive VariationalInequalities},Optimization, Vol. 49, pp. 1-12, 1999.Chadli, O., Chbani, Z., and Riahi, H.,Equilibrium problems with Generalized Monotone Bifunctionsand Applications to Variational Inequalities,Journal of Optimization Theory and Applications,Vol. 105, pp. 299-323, 2000.Konnov, I.V., and Schaible, S.,Duality for Equilibrium Problems under GeneralizedMonotonicity,Journal of Optimization Theory and Applications,Vol. 104, pp. 395-408, 2000.Tarafdar, E., and Yuan, G.X.-Z.,Generalized Variational Inequalities and Its Applications,Nonlinear Analysis, Theory, Methods and Applications,Vol. 30, pp. 4171-4181, 1997.Ansari, Q.H.,Vector Equilibrium Problems and Vector VariationalInequalities,in [11], pp. 1-16, 2000.Bianchi, M., Hadjisavvas, N., and Schaible, S.,Vector Equilibrium Problems with Generalized MonotoneBifunctions,Journal of Optimization Theory and Applications,Vol. 92, pp. 527-542, 1997.Giannessi, F.ed.,Variational Inequalities and Vector Equilibria.Mathematical Theories,Kluwer Academic Publishers, Dordrecht-Boston-London, 2000.Hadjisavvas, N., and Schaible, S.,From Scalar to Vector Equilibrium Problems in the Quasi-monotone Case,Journal of Optimization Theory and Applications,Vol. 96, pp. 297-309, 1998.Lee, G.M., Kim, D.S., and Lee, B.S.,On Noncooperative Vector Equilibrium,Indian Journal of Pure and Applied Mathematics,Vol. 27, pp. 735-739, 1996.Lin, L.-J., and Yu, Z.T.,Fixed Point Theorems and Equilibrium Problems,Nonlinear Analysis, Theory, Methods and Applications,Vol. 43, pp. 987-999, 2001.Oettli, W.,A Remark on Vector Valued Equilibria and GeneralizedMonotonicity,Acta Mathematica Vietnamica,Vol. 22, pp. 213-221, 1997.Tan, N.X., and Tinh, P.N.,On the Existence of Equilibrium Points of Vector Functions,Numerical Functional Analysis and Applications,Vol. 19, pp. 141-156, 1998.Ansari, Q.H., and Yao, J.-C.,An Existence Result for the Generalized Vector Equilibrium Problems,Applied Mathematics Letters, Vol. 12(8), pp. 53-56, 1999.Ansari, Q.H., Konnov, I.V., and Yao, J.-C.,On Generalized Vector equilibrium Problems,Nonlinear Analysis; Theory, Methods and Applications,Vol. 47, pp. 543-554, 2001.Konnov, I.V., and Yao, J.-C.,Existence of Solutions for Generalized Vector EquilibriumProblems},Journal of Mathematical Analysis and Applications,Vol. 233, pp. 328-335, 1999.Lin, L.J., Yu, Z. T.}, and Kassay, G.,Existence of Equilibria for Monotone Multivalued Mappingsand Its Applications to Vectorial Equilibria,Journal of Optimization Theorey and Applications,Vol. 114, 2002 (forthcoming).Oettli, W., and Schlager, D.,Existence of Equilibria for Monotone Multivalued Mappings,Mathematical Methods of Operations Research,Vol. 48, pp. 219-228, 1998.Ansari, Q.H., and Yao, J.-C.,Generalized Vector Equilibrium Problems,To appear in Journal of Statistics and Management Systems, 2002.Bianchi, M., and Pini, R.,A Result of Localization of Equilibria ,To appear in Journal of Optimization Theory and Applications, 2002.Lin, L.-J., Ansari, Q.H., and Wu, J.-Y.,Geometric Properties and Coincidence Theorems with Applicationsto Generalized Vector Equilibrium Problems ,To appear in Journal of Optimization Theory and Applications, 2002.Chang, T.H., and Yen, C.L.,KKM Properties and Fixed Point Theorems,Journal of Mathematical Analysis and Applications,Vol. 203, pp. 224-235, 1996.Djafari-Rouhani, B., Tarafdar, E., and Watson, P.-J.,Fixed Point Theorems, Coincidence Theorems and Variational Inequalities,2000 Mathematics Subject Classification.Ding, X.P.,Best Approximation and Coincidence Theorems,J. Sichuan Normal University (Natural Sicence), 18(1995), 21-29.Tian, G.Q.,Generalizations of KKM Theorem and the Ky Fan Minimax Inequalitywith Applications to Maximal Elements, Price Equilibrium and Complementarity,Journal of Mathematical Analysis and Applications,Vol. 170, pp. 457-471, 1992.Ding, X.P.,Existence of Solutions for Quasi-equilibrium Problems in NoncompactTopological Spaces,Computer Mathematics with Applications 39 (2000), 13-21.Chang, S.S., Lee, B.S., Wu, X., and Cho, Y.J.,and Lee, G.M.,On the Generalized Quasi-variational Inequality ProblemS,Journal of Mathematical Analysis and Applications,Vol. 203, pp. 686-711, 1996.Lassonde, M.,On the Use of KKM Multifunctions in Fixed Point Theory andRelated Topics,Journal of Mathematical Analysis and Applications,Vol. 97, pp. 151-201, 1983.Lin, L.-J.,1Applications of a Fixed Point Theorem in G-convex Space,Nonlinear Analysis, Theory, Methods and Applications,Vol. 46, pp. 601-608, 2001.Lin, L.-J.,A KKM Type Theorem and Its Applications,Bulletin of the Australian Mathematical Society,Vol. 59, pp. 481-493, 1999.Tan, N.X.,Quasi-variational Inequalities in Topological LinearLocally Convex Hausdorff Spaces ,Mathematische Nachrichten, Vol. 122, pp. 231-245, 1985.
 國圖紙本論文
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 1 廣義極大極小定理及其在多值映射平衡點上的應用及模糊映射的相容定理

 無相關期刊

 1 生態數學模型的動態行為 2 建立在VonSterneck函數上的推廣與應用 3 最大連續串長度的正確及近似分配 4 「數學學習相關生活品質」之初探－以高中三年級學生為研究對象 5 多值映射之史丹巴西亞及明梯形態之平衡點存在定理 6 付費型停止策略問題的研究 7 抽象經濟平衡點之應用 8 「數學學習相關生活品質」之初探-以國中二年級學生為研究對象 9 國民中學身心障礙資源班教師工作滿意度調查研究 10 台中縣國民小學融合教育班教師教學困擾之研究 11 國小資優班學生家長對學校實施親職教育的態度與需求之研究 12 國小三年級數學學習困難學生乘法應用問題解題歷程之研究 13 代幣增強方案對增進注意力渙散學生用功行為成效之研究 14 探究國一學生科學探究活動之參與內涵及其參與動機之個案研究 15 提升輔育院學生理化科的自我效能之行動研究

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室