Second order symmetric duality in fractional variational problems over cone constraints

Authors

  • Anurag Jayswal Indian Institute of Technology (Indian School of Mines), Department of Applied Mathematics, Dhanbad, Jharkhand, India
  • Shalini Jha Indian Institute of Technology (Indian School of Mines), Department of Applied Mathematics, Dhanbad, Jharkhand, India

DOI:

https://doi.org/10.2298/YJOR161217019J

Keywords:

variational problem, second order F-convexity, second order duality

Abstract

In the present paper, we introduce a pair of second order fractional symmetric variational programs over cone constraints and derive weak, strong, and converse duality theorems under second order F-convexity assumptions. Moreover, self duality theorem is also discussed. Our results give natural unification and extension of some previously known results in the literature.

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Published

2018-02-01

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Section

Research Articles