5 citations · 14 across the 12 of their papers we have counts for
12 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…
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…
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…
Non-linear programming problem for semi strongly -preinvexity
Akhlad Iqbal, Askar Hussain
In this article, we present semi strongly -preinvexity and semi strongly -invexity. To demonstrate the existence of these functions, certain nontrivial examples have been dev…
Quasi Strongly -preinvexity and its Relationships with Nonlinear Programming
Akhlad Iqbal, Askar Hussain
In this paper, we extend the class of strongly -preinvex and strongly -invex functions to quasi strongly -preinvex, quasi strongly -invex and pseudo strongly -invex…
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…
A note on -convex set in a complete Riemannian manifold
Absos Ali Shaikh, Chandan Kumar Mondal, Akhlad Iqbal
In this paper we have generalized the notion of -radial contraction in complete Riemannian manifold and developed the concept of -convex function. We have also given a coun…
Some results on --convex functions and geodesic -convex functions
Absos Ali Shaikh, Akhlad Iqbal, Chandan Kumar Mondal
As a generalization of geodesic function, in the present paper, we introduce the notion of geodesic -convex function and deduce some basic properties of -convex function and…
Strong geodesic convex functions of order m
Akhlad Iqbal, Izhar Ahmad
Strong geodesic convex function and strong monotone vector field of order on Riemannian manifolds have been established. A characterization of strong geodesic convex function o…