Characterizations of optimal solution sets of convex infinite programs |
| |
Authors: | T Q Son N Dinh |
| |
Institution: | (1) Nhatrang College of Education, Nhatrang, Vietnam;(2) Department of Mathematics, International University, Vietnam National University, Ho Chi Minh City, Vietnam |
| |
Abstract: | In this paper, several Lagrange multiplier characterizations of the solution set of a convex infinite programming problem
are given. Characterizations of solution sets of cone-constrained convex programs are derived as well. The procedure is then
adopted to a semi-convex problem with convex constraints. For this problem, we present firstly a necessary and sufficient
condition for optimality and secondly a characterization of its optimal solution set, based on a Lagrange multiplier associated
with a given solution and on directional derivatives of the objective function.
|
| |
Keywords: | Convex infinite programs Lagrange multipliers Solution sets Semi-convex programs |
本文献已被 SpringerLink 等数据库收录! |
|