Steepest descent methods for critical points in vector optimization problems

作者：Chuong Thai Doan; Yao Jen Chih^*

来源：APPLICABLE ANALYSIS, 2012, 91(10): 1811-1829.

DOI：10.1080/00036811.2011.640629

• vector optimization
• critical point
• weakly efficient solution
• steepest descent methods
• Banach spaces

In this article, we present steepest descent methods for finding stationary (critical) points of vector optimization problems for maps from an Euclidean space to a Banach space with respect to the partial order induced by a closed, convex and pointed cone with a nonempty interior. Convergence of the generated sequence to a weakly efficient solution of our problem is established under some reasonable additional hypotheses.

• 出版日期2012