E-Univex Sets, E-Univex Functions and E-Differentiable E-Univex Programming

N Abdulaleem - Results in Mathematics, 2023 - Springer
In this paper, we introduce a new concept of sets and a new class of functions called E-
univex sets and E-univex functions, respectively. For an E-differentiable function, the …

Nonlinear programming problem for strongly E-invex sets and strongly E-preinvex functions

A Iqbal, A Hussain - RAIRO-Operations Research, 2022 - rairo-ro.org
The concepts of strongly E-invex sets, strongly E-invex, strongly E-preinvex, and strongly
pseudo E-preinvex functions are introduced in this paper. We have included several non …

[HTML][HTML] EB-invexity in E-differentiable mathematical programming

N Abdulaleem - Results in Control and Optimization, 2021 - Elsevier
In this paper, a new concept of generalized convexity is introduced for (not necessarily)
differentiable optimization problem with E-differentiable functions. Namely, for an E …

Non-linear programming problem for semi strongly -preinvexity

A Iqbal, A Hussain - arXiv preprint arXiv:2301.07556, 2023 - arxiv.org
In this article, we present semi strongly $ E $-preinvexity and semi strongly $ E $-invexity. To
demonstrate the existence of these functions, certain nontrivial examples have been …

Geodesic -prequasi-invex function and its applications to non-linear programming problems

A Iqbal, P Kumar - Numerical Algebra, Control and Optimization, 2023 - aimsciences.org
In this article, we define a new class of functions on Riemannian manifolds, called geodesic
E-prequasi-invex functions. By a suitable example it has been shown that it is more …

On slack -geodesic convex set and geodesic -pseudoconvex function with application

A Iqbal, P Kumar, I Ahmad - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
We introduce a new class of sets named, slack $2 $-geodesic convex set on Riemannian
manifolds and verify by a nontrivial example. We define a geodesic $ E $-pseudoconvex …

[PDF][PDF] Results in Control and Optimization

N Abdulaleem - researchgate.net
In this paper, a new concept of generalized convexity is introduced for (not necessarily)
differentiable optimization problem with 𝐸-differentiable functions. Namely, for an 𝐸 …

Some properties of geodesic -preinvex functions on Riemannian manifolds

AA Shaikh, CK Mondal, RP Agarwal - Khayyam Journal of …, 2021 - kjm-math.org
In this article, we have introduced the concept of\textit {geodesic $(\alpha, E) $-invex set}
and by using this concept the notion of\textit {geodesic $(\alpha, E) $-preinvex functions} …

Some properties of geodesic -preinvex functions on a Riemannian manifold

AASCK Mondal, RP Agarwal - arXiv preprint arXiv:1905.08182, 2019 - arxiv.org
In this article, we have introduced the concept of\textit {geodesic $(\alpha, E) $-invex set}
and by using this concept the notion of\textit {geodesic $(\alpha, E) $-preinvex functions} …