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

	Optimality conditions for multi-objective interval-valued E-convex functions with the use of $gH$-symmetrical differentiation
International Journal of Nonlinear Analysis and Applications
مقاله 262، دوره 13، شماره 2، مهر 2022، صفحه 3261-3270 اصل مقاله (394.73 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24646.2788
نویسندگان
Sachin Rastogi¹؛ Akhlad Iqbal^* ²؛ Sanjeev Rajan¹
¹Department of Mathematics, Hindu college, M.J.P. Rohilkhand University, Bareilly-243003, UP, India
²Department of Mathematics, Aligarh Muslim University, Aligarh-202002, UP, India
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
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