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DOI: 10.23952/cot.2024.20
Received May 16, 2023; Accepted October 11, 2023; Published online February 5, 2024
Abstract. This article deals with a certain category of nonsmooth multiobjective fractional programming problems with equilibrium constraints in the setting of Hadamard manifolds (abbreviated as, (NMFPPEC)). The generalized Guignard constraint qualification (abbreviated as, (GGCQ)) for (NMFPPEC) and Karush-Kuhn-Tucker (abbreviated as, KKT) type necessary criteria of Pareto efficiency for (NMFPPEC) are presented. Mond-Weir as well as Wolfe type dual models related to (NMFPPEC) are formulated. Weak, strong, and strict converse duality results are derived relating (NMFPPEC) and the respective dual models. Suitable non-trivial examples have been furnished to demonstrate the significance of the results established in this article. The results derived in the article extend and generalize several notable results previously existing in the literature.
How to Cite this Article:
B.B. Upadhyay, Arnav Ghosh, R.N. Mohapatra, Mond-Weir and Wolfe type duality for nonsmooth multiobjective fractional programming problems with equilibrium constraints on Hadamard manifolds, Commun. Optim. Theory 2024 (2024) 20.