Higher-order symmetric duality in nondifferentiable multiobjective fractional programming problem over cone contraints

  • Ramu Dubey Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad, India
  • Deepmala Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India
  • Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, India
DOI: https://doi.org/10.19139/soic-2310-5070-601
Keywords: Higher-order symmetric duality, Multiobjective fractional programming, Efficient solution, Higher-order K- (C, α, ρ, d)-convexity/pseudoconvexity

Abstract

In this paper, we introduce the definition of higher-order K-(C, α, ρ, d)-convexity/pseudoconvexity over cone and discuss a nontrivial numerical examples for existing such type of functions. The purpose of the paper is to study higher order fractional symmetric duality over arbitrary cones for nondifferentiable Mond-Weir type programs under higher- order K-(C, α, ρ, d)-convexity/pseudoconvexity assumptions. Next, we prove appropriate duality relations under aforesaid assumptions.

Author Biographies

Ramu Dubey, Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad, India
Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad, India
Deepmala, Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India
Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India
Vishnu Narayan Mishra , Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, India
Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, India

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Stat.,

Published
2020-02-18
How to Cite
Dubey, R., Deepmala, & Mishra , V. N. (2020). Higher-order symmetric duality in nondifferentiable multiobjective fractional programming problem over cone contraints. Statistics, Optimization & Information Computing, 8(1), 187-205. https://doi.org/10.19139/soic-2310-5070-601
Issue
Vol 8 No 1 (2020)
Section
Research Articles
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