Open AccessDuality for higher-order (F,η)-invexity multiobjective fractional programming
Author(s) -
Xiaoyan Gao,
Dongping Yue,
Xuefeng Wang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1325/1/012124
Subject(s) - duality (order theory) , converse , mathematics , fractional programming , order (exchange) , class (philosophy) , multiobjective programming , strong duality , pure mathematics , duality gap , mathematical optimization , physics , computer science , optimization problem , nonlinear programming , multi objective optimization , nonlinear system , geometry , finance , quantum mechanics , artificial intelligence , economics
In this paper, we define a new class of generalized higher-order (F,η)-invexity functions, higher-order (F,η)-pseudo invexity functions and higher-order (F,η)-quasi invexity functions. Under the new generalized invexity, the Wolfe dual model for a class of multiobjective fractional programming problem is established, and several weak duality, strong duality and strict converse duality theorems are obtained and proved.