Optimality conditions for multi-objective interval-valued E-convex functions with the use of $gH$-symmetrical differentiation

Document Type : Research Paper

Authors

1 Department of Mathematics, Hindu college, M.J.P. Rohilkhand University, Bareilly-243003, UP, India

2 Department of Mathematics, Aligarh Muslim University, Aligarh-202002, UP, India

Abstract

In this paper, we introduce and discuss multi-objective interval-valued E-convex programming using gH-symmetrical differentiability. We prove nonlinear optimality conditions of Fritz John type for this context and construct an example to verify our results. Furthermore, we define LU-sE-pseudo convexity and LU-sE-quasi convexity for interval-valued functions and study some of their properties.

Keywords

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Volume 13, Issue 2
July 2022
Pages 3261-3270
  • Receive Date: 24 September 2021
  • Revise Date: 13 June 2022
  • Accept Date: 02 August 2022