Second order duality for mathematical programming involving n-set functions

Second order duality for mathematical programming involving n-set functions

The notion of second order convexity and its generalization for $n$-set functions are introduced. Mond-weir type second order duality is formulated for the general mathematical programming problems involving $n$-set functions, and proved desired duality theorems. Further, counterexamples are illustr...

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Bibliographic Details
Main Authors: Joydev Dasmahapatra, Saroj Kumar Padhan
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Mathematical programming
$n$-set functions
second order generalized convexity
second order Mond-Weir type duality
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31883

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