Saddle point criteria for second order η-approximated vector optimization problems

Title:

Saddle point criteria for second order η-approximated vector optimization problems

Creator:

Jaywal, Anurag, Jha, Shalini, and Choudhury, Sarita

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d7c4ef43-ae93-454b-87e7-575146f2ab9a
uuid:d7c4ef43-ae93-454b-87e7-575146f2ab9a

Subject:

efficient solution, second order η-approximation, saddle point criteria, and optimality condition

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The purpose of this paper is to apply second order η-approximation method introduced to optimization theory by Antczak \cite{2} to obtain a new second order η-saddle point criteria for vector optimization problems involving second order invex functions. Therefore, a second order η-saddle point and the second order η-Lagrange function are defined for the second order η-approximated vector optimization problem constructed in this approach. Then, the equivalence between an (weak) efficient solution of the considered vector optimization problem and a second order η-saddle point of the second order η-Lagrangian in the associated second order η-approximated vector optimization problem is established under the assumption of second order invexity.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[359]-378

Source:

Kybernetika | 2016 Volume:52 | Number:3

Harvested from:

CDK

Metadata only:

false