Exact characterization for subdifferentials of a special optimal value function |
| |
Authors: | Shuqin Sun Yiran He |
| |
Institution: | 1.Department of Mathematics,Sichuan Normal University,Chengdu,China;2.Department of Mathematics,Sichuan Minzu College,Kangding,China |
| |
Abstract: | For a closed set S and a bounded closed convex set U in a real normed vector space, we give exact subdifferential formulas of an optimal value function \(\mathrm {I}\!\Gamma _{S|U}\) whose definition is based on the Minkowski function of U. \(\mathrm {I}\!\Gamma _{S|U}\) covers distance function and indicator function as special cases. The main contribution is dropping two important assumptions of some main results in the literature. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|