Second-order nondifferentiable multiobjective mixed type fractional programming programming problems

Document Type : Research Paper


1 Department of mathematics, Central University of Haryana, Jant-Pali, Mahendragarh

2 Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, Madhya Pradesh, India


The motivation behind this paper is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider the class of second-order (F,\alpha,\rho,d)-type-I convex functions. Further, we formulate unified (mixed type) dual models and derive duality relations under aforesaid assumptions.