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Research Article Open Access

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

Tadeusz Antczak1 and Najeeb Abdulaleem2
  • 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.

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 86-98

DOI: https://doi.org/10.3844/jmssp.2019.86.98

Submitted On: 13 February 2019 Published On: 11 May 2019

How to Cite: 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

Open AccessCopyright: © 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