Journal of Mathematics and Statistics

E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints

Tadeusz Antczak and Najeeb Abdulaleem

DOI : 10.3844/jmssp.2019.86.98

Journal of Mathematics and Statistics

Volume 15, 2019

Pages 86-98

Abstract

n this study, the class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. For such (not necessarily) differentiable multicriteria optimization problems, two E-Lagrange functions and their E-saddle points are defined. Then the so-called E-saddle point criteria are established for such (not necessarily) differentiable multiobjective programming problems with E-differentiable E-convex functions.

Copyright

© 2019 Tadeusz Antczak and Najeeb Abdulaleem. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.