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頁籤選單縮合
題 名 | Generalized Vector Quasi-Equilibria for Multivalued Mappings |
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作 者 | 游鎮村; | 書刊名 | 南開學報 |
卷 期 | 7(上) 民91.06 |
頁 次 | 頁171-180 |
分類號 | 315 |
關鍵詞 | 平衡問題; 多值映射; 推廣凸空間; 拓樸向量空間; 上半連續; 推廣型向量半平衡問題; Equilibria problem; Multimap; G-convex space; Topological vector space; Upper semicontinuous; Generalized vector quasi-equilibria problem; |
語 文 | 英文(English) |
中文摘要 | 在這一篇論文,我利用由林來居與游鎮村[6]所推出新的固定點定理,幾種g-單調(g-monotonic)條件,及一些強制條件去建立推廣型向量半平衡問題的存在定理,我推廣Oettli和Schlager[8]的一些結果,在[8]中Oettli和Schlager利用樊畿(Fan)推出的KKM定理去建立多值函數平衡問題的存在定理,我的方法完全不同於Oettli和Schlager,且我所研究的是推廣型向量半平衡問題。由我証明的結論,可以推出向量平衡問題的存在解[7]及Ky Fan's極大極小不等式定理。 |
英文摘要 | In the paper, we apply a new fixed point theorem of Lin and Yu [6] and use various g-monotonic condition and some coercivity condition to establish the existence theorems of generalized vector quasi-equilibrium for multimap, We generalize some results of Olttli and Schlager [8]. In [8], Oettli and Schlager use a KKM theorems due to Fan [3] to establish the existence theorems of equilibrium for multimap, but our approach is different from Oettli and Schlager [8] establish the existence theorems of generalized vector quasi-equilibrium for multimap. As application of our results, we derive some existence results for a solution to vector equilibria problem [7], some well-know classical results as Ky Fan's minimax inequality theorem. |
本系統中英文摘要資訊取自各篇刊載內容。