| Himanshu TIWARI,Seema MEENA,Deepak KUMAR,D. B. OJHA.Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming[J].数学研究及应用,2023,43(3):303~312 |
| Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming |
| Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming |
| 投稿时间：2022-04-27 修订日期：2022-06-27 |
| DOI：10.3770/j.issn:2095-2651.2023.03.005 |
| 中文关键词: $E$-convexity higher order $(F,\alpha, \beta, \rho,d, E)$-convexity optimality conditions duality fractional programming |
| 英文关键词:$E$-convexity higher order $(F,\alpha, \beta, \rho,d, E)$-convexity optimality conditions duality fractional programming |
| 基金项目: |
| 作者 | 单位 | | Himanshu TIWARI | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India | | Seema MEENA | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India | | Deepak KUMAR | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India | | D. B. OJHA | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India |
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| 摘要点击次数: 32 |
| 全文下载次数: 62 |
| 中文摘要: |
| In this paper we define higher order $(F,\alpha, \beta, \rho,d, E)$-convex function with respect to $E$-differentiable function $K$ and obtain optimality conditions for nonlinear programming problem (NP) from the concept of higher order $(F,\alpha, \beta, \rho,d)$-convexity. Here, we establish Mond-Weir and Wolfe duality for (NP) and utilize these duality in nonlinear fractional programming problem. |
| 英文摘要: |
| In this paper we define higher order $(F,\alpha, \beta, \rho,d, E)$-convex function with respect to $E$-differentiable function $K$ and obtain optimality conditions for nonlinear programming problem (NP) from the concept of higher order $(F,\alpha, \beta, \rho,d)$-convexity. Here, we establish Mond-Weir and Wolfe duality for (NP) and utilize these duality in nonlinear fractional programming problem. |
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