頁籤選單縮合
題 名 | Roughly Geodesic β-invex and Optimization Problem on Hadamard Manifolds |
---|---|
作 者 | Huang, Nan-jing; Zhou, Li-wen; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 17:3 2013.06[民102.06] |
頁 次 | 頁833-855 |
分類號 | 310 |
關鍵詞 | Hadamard manifold; Roughly geodesic B-invex set; Roughly geodesic B-invex function; Nonlinear optimization problem; Mond-weir type dual; |
語 文 | 英文(English) |
英文摘要 | In this paper, a new class of roughly geodesic B-invex sets, quasi roughly geodesic B-invex functions and pseudo roughly geodesic B-invex functions are introduced and studied on Hadamard manifolds by relaxing the definitions of geodesic convex sets and functions. Some properties of quasi roughly geodesic B-invex functions and pseudo roughly geodesic B-invex functions are proved on Hadamard manifolds. As applications, some sufficient and necessary conditions for optimal solution of the nonlinear programming problems involving the quasi roughly geodesic B-invex functions and the pseudo roughly geodesic B-invex functions are given on Hadamard manifolds. The Mond-weir type dual problems for the nonlinear programming problems are also considered on Hadamard manifolds. |
本系統中英文摘要資訊取自各篇刊載內容。