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Second-order nondifferentiable multiobjective mixed type fractional programming programming problems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 40، دوره 11، شماره 1، تیر 2020، صفحه 439-451 اصل مقاله (161.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.11445.1561 | ||
| نویسندگان | ||
| Ramu Dubey1، 2؛ Vishnu Narayan Mishra* 3 | ||
| 1Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121006, Haryana, India | ||
| 2Department of Mathematics, Central University of Haryana, Jant-Pali-123029, India | ||
| 3Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, Madhya Pradesh, India | ||
| تاریخ دریافت: 04 فروردین 1397، تاریخ بازنگری: 13 آبان 1398، تاریخ پذیرش: 25 آبان 1398 | ||
| چکیده | ||
| The motivation behind this paper is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider the class of second-order $(V,\rho,\theta)$-type-$I$ convex functions. Further, we formulate unified (mixed type) dual models and derive duality relations under aforesaid assumptions. | ||
| کلیدواژه‌ها | ||
| Duality؛ support function؛ type-I functions؛ unified dual؛ efficient solutions | ||
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