6 papers
On the Characterization of gH-partial derivatives and gH-Product for Interval-Valued Functions
Amir Suhail, Tauheed, Akhlad Iqbal
In this paper, we show by a counterexample that the gH-partial derivative of interval-valued functions (IVFs) may exist even when the partial derivative of the end point functions…
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…
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…
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,…
Relations between nonsmooth vector variational inequalities and nonsmooth vector optimization problems on Hadamard manifold in terms of bifunction
Nagendra Singh, Akhlad Iqbal, Shahid Ali
In this paper, we discuss the concepts of bifunction and geodesic convexity for vector valued functions on Hadamard manifold. The Hadamard manifold is a particular type of Riemanni…
On relationships between vector variational inequalities and optimization problems using convexificators on Hadamard manifold
Nagendra Singh, Akhlad Iqbal, Shahid Ali
An important concept of convexificators has been extended to Hadamard manifolds in this paper. The mean value theorem for convexificators on the Hadamard manifold has also been der…