Second-order nondifferentiable multiobjective mixed type fractional programming programming problems

Dubey, Ramu; Narayan Mishra, Vishnu

doi:10.22075/ijnaa.2019.11445.1561

Second-order nondifferentiable multiobjective mixed type fractional programming programming problems

Document Type : Research Paper

Authors

Ramu Dubey ¹ ^{, 2}

Vishnu Narayan Mishra ³

¹ Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121006, Haryana, India

² Department of Mathematics, Central University of Haryana, Jant-Pali-123029, India

³ 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 $(V,\rho,\theta)$-type-$I$ convex functions. Further, we formulate unified (mixed type) dual models and derive duality relations under aforesaid assumptions.

Keywords

Duality

support function

type-I functions

unified dual

efficient solutions