| Higher-Order $(F,\alpha, \beta, \rho, d, E) $-Convexity in Fractional Programming |
| Received:April 27, 2022 Revised:June 27, 2022 |
| Key Words:
$E$-convexity higher order $(F,\alpha, \beta, \rho,d, E)$-convexity optimality conditions duality fractional programming
|
| Fund Project: |
| Author Name | Affiliation | | 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 |
|
| Hits: 419 |
| Download times: 329 |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2023.03.005 |
| View Full Text View/Add Comment |
|
|
|
