Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

Joint Authors

Qinghai, He
Binbin, Zhang

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-18

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We obtain a new Taylor's formula in terms of the k+1 order subdifferential of a Ck,1 function from Rn to Rm.

As its applications in optimization problems, we build k+1 order sufficient optimality conditions of this kind of functions and k+1 order necessary conditions for strongly C-quasiconvex functions.

American Psychological Association (APA)

Qinghai, He& Binbin, Zhang. 2013. Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-489738

Modern Language Association (MLA)

Qinghai, He& Binbin, Zhang. Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-489738

American Medical Association (AMA)

Qinghai, He& Binbin, Zhang. Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-489738

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-489738