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

نویسندگان
Rastogi, Sachin ID 1
Iqbal, Akhlad ID 2
Rajan, Sanjeev ID 3

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

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

doi
10.22075/ijnaa.2022.24646.2788
چکیده

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.

کلیدواژه‌ها
Fritz John optimality conditions, Interval-valued functions, E-convexity, Multi objective programming, gH-symmetrically differentiation