Open AccessHigher-order duality for multiobjective programming problem involving Author(s) -
Anurag Jayswal,
Krishna Kummari
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.01.002
Subject(s) - xml , duality (order theory) , converse , mathematics , order (exchange) , dual (grammatical number) , function (biology) , algebra over a field , computer science , pure mathematics , world wide web , art , geometry , literature , finance , economics , evolutionary biology , biology
In the present article, we formulate two different kinds of higher-order dual models related to the multi-objective programming problem containing arbitrary norms. Furthermore, weak, strong and strict converse duality results are established under the assumptions of higher-order (Φ,ρ)-invex function. Results obtained in this paper unify and extend some previously known results in the literature