E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints
Tadeusz Antczak1 & Najeeb Abdulaleem2 Show affiliations
- University of Łódź, Banacha 22, Poland
- Hadhramout University, Yemen
Journal of Mathematics and Statistics, Volume 15, Issue 1, pp. 86–98 · doi.org/10.3844/jmssp.2019.86.98
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.
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Antczak, T. & Abdulaleem, N. (2019). E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints. Journal of Mathematics and Statistics, 15(1), 86–98. https://doi.org/10.3844/jmssp.2019.86.98
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