Symmetry (Nov 2019)

Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

  • Ramu Dubey,
  • Lakshmi Narayan Mishra,
  • Luis Manuel Sánchez Ruiz

DOI
https://doi.org/10.3390/sym11111348
Journal volume & issue
Vol. 11, no. 11
p. 1348

Abstract

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In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond−Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions.

Keywords