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

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Keywords

  • E-differentiable Vector Optimization Problem
  • E-saddle Point
  • E-Lagrange Function
  • E-saddle Point Criteria
  • E-convex Function