English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

The notions of higher-order Studniarski derivative and  m -stable functions ( m  is a positive integer) are introduced for dealing with multiobjective semi-infinite programming problem with inequality constraints. In order to obtain results on necessary optimality conditions of higher order, we study two generalized Abadie constraint qualifications for these notions together with the existence results of Studniarski derivative of higher order. An application of these constraint qualifications for the Borwein properly efficient solution on weak and strong Karush–Kuhn–Tucker necessary optimality conditions via the higher-order Studniarski derivatives with  m -stable functions is presented. A higher-order sufficient optimality condition which is very close to higher-order strong Karush–Kuhn–Tucker necessary conditions to such problem is provided as well. Several examples are also constructed to illustrate the main results of the paper.

Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming