Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions for strongly -quasiconvex functions.
Saved in:
Main Authors: | He Qinghai, Zhang Binbin |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/678154 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Weak Subdifferential in Nonsmooth Analysis and Optimization
by: Şahlar F. Meherrem, et al.
Published: (2011-01-01) -
Nonsmooth analysis and optimization on partially ordered vector spaces
by: Thomas W. Reiland
Published: (1992-01-01) -
M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors
by: Gang Wang, et al.
Published: (2020-01-01) -
Sufficient Efficiency Conditions for Vector Ratio Problem on the Second-Order Jet Bundle
by: Ariana Pitea
Published: (2012-01-01) -
Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems
by: W. A. Oliveira, et al.
Published: (2014-01-01)