Open AccessE-Duality Results For E-Differentiable E-Invex Multiobjective Programming Problems
Author(s) -
Najeeb Abdulaleem
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 - 10.1088/1742-6596/1294/3/032027
Subject(s) - differentiable function , duality (order theory) , multiobjective programming , mathematics , wolfe duality , pure mathematics , strong duality , mathematical optimization , optimization problem , weak duality , multi objective optimization
In this paper, a class of E-differentiable multiobjective programming problems with both inequality and equality constraints is considered. The so-called vector Mond-Weir E-dual problem and vector mixed E-duality problem are defined for the considered E-differentiable multiobjective programming problem with both inequality and equality constraints and several Mond-Weir and mixed E-duality theorems are established under (generalized) E-invexity hypotheses.