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math.OC2023
A study of Geodesic (E, F)-preinvex Functions on Riemannian Manifolds
Ehtesham Akhter, Musavvir Ali
In this manuscript, we define (E, F)-invex set, (E, F)-invex functions, and (E, F)-preinvex functions on Euclidean space. We explore the concepts on the Riemannian manifold. We als…
math.OC2022
w-Invexity and Optimality Problem
Musavvir Ali, Ehtesham Akhter
We define w-invex set, w-preinvex, w-strictly preinvex, w-quasi preinvex, w-strictly quasi preinvex, w-semi-strictly quasi preinvex, and w-pre pseudo-invex functions in this contex…
math.OC2022
-convexity and Applications of Quasi--Convex Functions
Musavvir Ali, Ehtesham Akhter
A class of real functions, which is the generalization of a family of convex functions, is introduced; in this connection, we have defined -convex, strictly -convex, quasi-$X…