Duality results for a second-order multiobjective fractional programming problem with generalised convexity

2017 ◽  
Vol 11 (4) ◽  
pp. 435
Author(s):  
Arvind Kumar ◽  
Pankaj Kumar Garg
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Second Order ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Duality Results ◽  
Multiobjective Fractional Programming Problem

On duality for a second-order multiobjective fractional programming problem involving type-I functions

2019 ◽  
Vol 26 (3) ◽  
pp. 393-404 ◽  
Author(s):  
Ramu Dubey ◽  
S. K. Gupta
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Compact Convex ◽  
Second Order ◽  
Type I ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Multiobjective Fractional Programming Problem ◽  
Compact Convex Set ◽  
Formula Type

Abstract The purpose of this paper is to study a nondifferentiable multiobjective fractional programming problem (MFP) in which each component of objective functions contains the support function of a compact convex set. For a differentiable function, we introduce the class of second-order {(C,\alpha,\rho,d)-V} -type-I convex functions. Further, Mond–Weir- and Wolfe-type duals are formulated for this problem and appropriate duality results are proved under the aforesaid assumptions.

scholarly journals Duality for multiobjective fractional programming problems involving d -type-I n-set functions

2009 ◽  
Vol 19 (1) ◽  
pp. 63-73
Author(s):  
I.M. Stancu-Minasian ◽  
Gheorghe Dogaru ◽  
Mădălina Stancu
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Type I ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Duality Results ◽  
Set Functions ◽  
Convexity Assumptions ◽  
Nonlinear Fractional Programming

We establish duality results under generalized convexity assumptions for a multiobjective nonlinear fractional programming problem involving d -type-I n -set functions. Our results generalize the results obtained by Preda and Stancu-Minasian [24], [25].

Sign in / Sign up

Export Citation Format

Share Document