DUALITY FOR A NONDIFFERENTIABLE MULTIOBJECTIVE HIGHER-ORDER SYMMETRIC FRACTIONAL PROGRAMMING PROBLEMS WITH CONE CONSTRAINTS

R.  DUBEY; S. K.  GUPTA

DUALITY FOR A NONDIFFERENTIABLE MULTIOBJECTIVE HIGHER-ORDER SYMMETRIC FRACTIONAL PROGRAMMING PROBLEMS WITH CONE CONSTRAINTS

Authors

R. DUBEY Department of Mathematics, Indian Institute of Technology Roorkee Roorkee-247667, India
S. K. GUPTA Department of Mathematics, Indian Institute of Technology Roorkee Roorkee-247667, India

Keywords:

Higher-order, symmetric duality, multiobjective fractional programming, (C,α,ρ,d)-convexity, cone constraints

Abstract

In this paper, a pair of nondifferentiable multiobjective higher-order symmetric fractional dual problem with cone constraints is formulated. For a differentiable function, we introduce the definition of higher-order $(C,\alpha,\rho,d)$- convexity. Next, we prove appropriate duality relations under aforesaid assumptions.