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

DOI：10.3770/j.issn:2095-2651.2023.03.005

 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

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.

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.