Higher-order duality for multiobjective programming problem involving <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/…
Author(s) -
Anurag Jayswal,
Krishna Kummari
Publication year - 2014
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) - converse , duality (order theory) , mathematics , order (exchange) , xml , function (biology) , support function , pure mathematics , algebra over a field , computer science , regular polygon , convex optimization , world wide web , subderivative , geometry , finance , evolutionary biology , economics , 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
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