Dubeya, Ramu, Kumar, Rajnish, Alam, Khursheed, Mishra, Vishnu Narayan. (1400). Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions. هنرهای کاربردی, 12(Special Issue), 643-651. doi: 10.22075/ijnaa.2021.5399
Ramu Dubeya; Rajnish Kumar; Khursheed Alam; Vishnu Narayan Mishra. "Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions". هنرهای کاربردی, 12, Special Issue, 1400, 643-651. doi: 10.22075/ijnaa.2021.5399
Dubeya, Ramu, Kumar, Rajnish, Alam, Khursheed, Mishra, Vishnu Narayan. (1400). 'Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions', هنرهای کاربردی, 12(Special Issue), pp. 643-651. doi: 10.22075/ijnaa.2021.5399
Dubeya, Ramu, Kumar, Rajnish, Alam, Khursheed, Mishra, Vishnu Narayan. Generalized $G$-Wolfe type fractional symmetric duality theorems over arbitrary cones under $(G,\rho,\theta)$-invexity assumptions. هنرهای کاربردی, 1400; 12(Special Issue): 643-651. doi: 10.22075/ijnaa.2021.5399

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
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
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