E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints
- 1 University of Łódź, Banacha 22, Poland
- 2 Hadhramout University, Yemen
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.
DOI: https://doi.org/10.3844/jmssp.2019.86.98
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.
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Keywords
- E-differentiable Vector Optimization Problem
- E-saddle Point
- E-Lagrange Function
- E-saddle Point Criteria
- E-convex Function