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 …

Optimality conditions for a class of E-differentiable vector optimization problems with interval-valued objective functions under E-invexity

N Abdulaleem - International Journal of Computer Mathematics, 2023 - Taylor & Francis
In this paper, a class of E-differentiable multiobjective programming with multiple objective
functions and with both inequality and equality constraints is considered. The so-called E …

Optimality and duality for -differentiable multiobjective programming problems involving -type Ⅰ functions

N Abdulaleem - Journal of Industrial and Management …, 2023 - aimsciences.org
In this paper, a new concept of generalized convexity is introduced for not necessarily
differentiable multiobjective programming problems with $ E $-differentiable functions …

[HTML][HTML] Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

N Abdulaleem - Systems and Soft Computing, 2023 - Elsevier
In this paper, a new class of generalized convex optimization problems with a multiple
interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity …

Optimality and duality for E-minimax fractional programming: application to multiobjective optimization

N Pokharna, IP Tripathi - Journal of Applied Mathematics and Computing, 2023 - Springer
In this paper, we study the notion of strong invexity with respect to the E-operator. We
discuss the necessary and sufficient conditions for the considered E-minimax fractional …

--invexity in -differentiable multiobjective programming

N Abdulaleem - Numerical Algebra, Control and Optimization, 2022 - aimsciences.org
In this paper, a new concept of generalized convexity is introduced for not necessarily
differentiable vector optimization problems with E-differentiable functions. Namely, for an E …

Optimality conditions and duality for E-differentiable multiobjective programming involving V-E-type I functions

N Abdulaleem, S Treanţă - Opsearch, 2023 - Springer
In this paper, we introduce a new concept of sets and a new class of functions called α-E-
invex sets and VE-preinvex functions. Furthermore, a new concept of generalized convexity …

[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 …

Optimality and duality results for fractional programming problems under E-univexity

SK Mishra, D Singh, Pankaj - Numerical Algorithms, 2024 - Springer
In this article, we deal with nonconvex fractional programming problems involving E-
differentiable functions (FPE). The so-called E-Karush-Kuhn-Tucker sufficient E-optimality …

Wolfe E-duality for E-differentiable E-invex vector optimization problems with inequality and equality constraints

N Abdulaleem - 2018 International Conference on Applied …, 2018 - ieeexplore.ieee.org
In this paper, the class of E-differentiable vector optimization problems with both inequality
and equality constraints is considered. For such (not necessarily) differentiable vector …