B.B. Upadhyay, Lijie Li, Priyanka Mishra, Nonsmooth interval-valued multiobjective optimization problems and generalized variational inequalities on Hadamard manifolds

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DOI: 10.23952/asvao.5.2023.1.05
Volume 5, Issue 1, 1 April 2023, Pages 69-84

Abstract. In this paper, we study the classes of approximate Minty and Stampacchia type vector variational inequalities along with their local and weak versions on a Hadamard manifold, and a class of nonsmooth interval-valued multiobjective optimization problems, respectively. We obtain the equivalence between the solutions of considered approximate vector variational inequalities and LU-efficient solutions of nonsmooth interval-valued multiobjective optimization problems in which the cost function is assumed to be geodesic approximately LU-convex or geodesic LU- $\alpha$ -convex.

How to Cite this Article:
B.B. Upadhyay, Lijie Li, Priyanka Mishra, Nonsmooth interval-valued multiobjective optimization problems and generalized variational inequalities on Hadamard manifolds, Appl. Set-Valued Anal. Optim. 5 (2023), 69-84.