[HTML][HTML] Investigation on continuous dependence and regularity solutions of functional integrodifferential equations

K Munusamy, C Ravichandran, KS Nisar… - Results in Control and …, 2024 - Elsevier
In this work, to show the existence and continuous dependence of integral solution for
neutral integro-differential equation with finite delay situation. This result established by …

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 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 …

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 …

[HTML][HTML] Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h, φ)-G-type I functions

T Saeed, V Singh, S Treanţă, S Lalmalsawma - Results in Control and …, 2024 - Elsevier
In this paper, we introduce a new class of generalized (h, φ)-G-type I vector-valued
functions, by combining the notions of (h, φ)-differentiable functions, G-invex functions, and …

Exponentially E-preinvex and E-invex functions in mathematical programming

N Abdulaleem - arXiv preprint arXiv:2406.17273, 2024 - arxiv.org
In this paper, we introduce a new concept of generalized convexity for E-differentiable vector
optimization problems. Namely, the notion of exponentially E-invexity is defined. Further …

[PDF][PDF] EXPONENTIALLY E-CONVEX VECTOR OPTIMIZATION PROBLEMS

N Abdulaleem - Journal of Industrial and Management …, 2024 - researchgate.net
In this paper, we introduced a new concept of generalized convexity for differentiable vector
optimization problems. Namely, the notion of exponentially E-convexity is defined as a …

-Optimality and -duality results for multiobjective variational problems and application to the cake-eating problem

N Pokharna, IP Tripathi - Journal of Industrial and Management …, 2024 - aimsciences.org
In this paper, we introduce a new class of generalized convexity for an E-differentiable
multiobjective variational problem, and to solve this problem, an associated multiobjective E …

Optimality Results for Non-Differentiable Multiobjective Fractional Programming Problems under EB-Invexity

SK Mishra, D Singh, P Kumar, V Singh - 2024 - researchsquare.com
In this paper, we deal with non-convex multiobjective fractional programming problems
involving E-differentiable functions (MFP E). The so-called E-Karush-Kuhn-Tucker sufficient …

Su ciency and duality for E-differentiable vector optimization problems under generalized convexity

N Abdulaleem, J Cen, K Das - Hacettepe Journal of Mathematics and … - dergipark.org.tr
In this paper, a new class of nonconvex vector optimization problems is considered. The
concepts of EB-pseudoinvexity and EB-quasiinvexity are introduced for E-differentiable …