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Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 643-651 اصل مقاله (346.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5399 | ||
| نویسندگان | ||
| Ramu Dubeya1؛ Rajnish Kumar2؛ Khursheed Alam3؛ Vishnu Narayan Mishra* 4 | ||
| 1Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121006, Haryana, India | ||
| 2Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, India | ||
| 3Department of Mathematics, School of Basic Sciences and Research, Sharda University, India | ||
| 4Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur -484 887, Madhya Pradesh, India | ||
| تاریخ دریافت: 05 تیر 1399، تاریخ بازنگری: 18 آذر 1399، تاریخ پذیرش: 05 دی 1399 | ||
| چکیده | ||
| In this paper, we introduce the concept of $(G,\rho,\theta)$-invexity/pseudoinvexity. We formulate duality outcomes for $G$-Wolfe-type fractional symmetric dual programs over arbitrary cones. In the final section, we discuss the duality theorems under $(G,\rho,\theta)$-invexity/ $(G,\rho,\theta)$-psedoinvexity assumptions. | ||
| کلیدواژه‌ها | ||
| Fractional programming problem؛ symmetric duality؛ theta)$-invexity؛ $G$-Wolfe model؛ $(G؛ rho؛ theta)$-pseudoinvexity | ||
| مراجع | ||
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