| Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming |
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| 作者姓名： | Himanshu TIWARI Seema MEENA Deepak KUMAR D. B. OJHA |
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| 作者单位： | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India |
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| 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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| 关 键 词： | $E$-convexity higher order $(F \alpha \beta \rho d E)$-convexity optimality conditions duality fractional programming |
| 收稿时间： | 2022/4/27 0:00:00 |
| 修稿时间： | 2022/6/27 0:00:00 |
Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming |
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| Himanshu TIWARI,Seema MEENA,Deepak KUMAR,D. B. OJHA.Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming[J].Journal of Mathematical Research with Applications,2023,43(3):303-312. |
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| Authors: | Himanshu TIWARI Seema MEENA Deepak KUMAR D B OJHA |
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| Affiliation: | Department of Mathematics, Faculty of Science, University of Rajasthan, Jaipur 302004, India |
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| Abstract: | 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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| Keywords: | $E$-convexity higher order $(F \alpha \beta \rho d E)$-convexity optimality conditions duality fractional programming |
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