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The Karush-Kuhn-Tucker Optimality Conditions for Multi-Objective Interval-Valued Optimization Problem on Hadamard Manifolds
Hilal Ahmad Bhat, Akhlad Iqbal, Izhar Ahmad
The KKT optimality conditions for multi-objective interval-valued optimization problem on Hadamard manifold are studied in this paper. Several concepts of Pareto optimal solutions,…
Optimality Conditions for Interval-Valued Optimization Problems on Riemannian Manifolds Under a Total Order Relation
Hilal Ahmad Bhat, Akhlad Iqbal, Mahwash Aftab
This article explores fundamental properties of convex interval-valued functions defined on Riemannian manifolds. The study employs generalized Hukuhara directional differentiabili…
Strongly geodesic preinvexity and Strongly Invariant η-Monotonicity on Riemannian Manifolds and its Application
Akhlad Iqbal, Askar Hussain, Hilal Ahmad Bhat
In this paper, we present strongly geodesic preinvexity on Riemannian manifolds (RM) and strongly η-invexity of order m on RM. Furthermore, we define strongly invariant η-monotonic…
Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds
Hilal Ahmad Bhat, Akhlad Iqbal
In this paper, we show that generalized Hukuhara directional differentiability of an interval-valued function (IVF) defined on Riemannian manifolds is not equivalent to the directi…