Optimality Conditions for Interval-Valued Optimization Problems on Riemannian Manifolds Under a Total Order Relation

This article explores fundamental properties of convex interval-valued functions defined on Riemannian manifolds. The study employs generalized Hukuhara directional differentiability to derive KKT-type optimality conditions for an interval-valued optimization problem on Riemannian manifolds. Based o...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 205; no. 1; p. 6
Main Authors:	Bhat, Hilal Ahmad, Iqbal, Akhlad, Aftab, Mahwash
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2025 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Constraints Convex analysis Decision making Engineering Euclidean space Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Optimization techniques Random variables Riemann manifold Theory of Computation Topological manifolds Generalized Hukuhara directional derivative Riemannian manifolds Interval-valued functions Convexity KKT optimality conditions
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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