Second-order nondifferentiable multiobjective mixed type fractional programming programming problems

Document Type: Research Paper

Authors

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

10.22075/ijnaa.2019.11445.1561

Abstract

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.

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