[PDF][PDF] Treant, a, S

MB Khan, HG Zaini - Variational Problems and Applications, 2022 - files.znu.edu.ua
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

N Sharma, SK Singh, SK Mishra, A Hamdi - Journal of Inequalities and …, 2021 - Springer
In this paper, we introduce (h 1, h 2) (h_1,h_2)-preinvex interval-valued function and
establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using …

Efficient solutions for vector optimization problem on an extended interval vector space and its application to portfolio optimization

BRB Sahu, AK Bhurjee, P Kumar - Expert Systems with Applications, 2024 - Elsevier
In this paper, a generalized interval vector space is investigated and defined as an ordered
relation in the form of a bijective linear transformation of its onto a real vector space. The …

Duality results for interval-valued pseudoconvex optimization problem with equilibrium constraints with applications

T Van Su, DH Dinh - Computational and Applied Mathematics, 2020 - Springer
This paper is devoted to constructing Wolfe and Mond–Weir dual models for interval-valued
pseudoconvex optimization problem with equilibrium constraints, as well as providing weak …

Generalized-Hukuhara penalty method for optimization problem with interval-valued functions and its application in interval-valued portfolio optimization problems

AK Debnath, D Ghosh - Operations Research Letters, 2022 - Elsevier
In this study, a gH-penalty method is developed to obtain efficient solutions to constrained
optimization problems with interval-valued functions. The algorithmic implementation of the …

Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance

P Roy, G Panda, D Qiu - Journal of Computational and Applied …, 2024 - Elsevier
In this article, gradient based descent line search scheme is proposed to solve interval
optimization problems under generalized Hukuhara differentiability. The innovation and …

An efficient solution of nonlinear enhanced interval optimization problems and its application to portfolio optimization

P Kumar, AK Bhurjee - Soft Computing, 2021 - Springer
A general optimization problem whose parameters and decision variables are intervals, is
known as an enhanced interval optimization problem. This article has focused on nonlinear …

Some new versions of integral inequalities for left and right preinvex functions in the interval-valued settings

MB Khan, S Treanțǎ, MS Soliman, K Nonlaopon… - Mathematics, 2022 - mdpi.com
The principles of convexity and symmetry are inextricably linked. Because of the
considerable association that has emerged between the two in recent years, we may apply …

Optimality conditions and duality for interval-valued optimization problems using convexifactors

A Jayswal, I Stancu-Minasian, J Banerjee - Rendiconti del Circolo …, 2016 - Springer
This paper is devoted to the applications of convexifactors on interval-valued programming
problem. Based on the concept of LU optimal solution, sufficient optimality conditions are …

On interval-valued bilevel optimization problems using upper convexificators

S Dempe, NA Gadhi, M Ohda - RAIRO-Operations Research, 2023 - rairo-ro.org
In this paper, we investigate a bilevel interval valued optimization problem. Reducing the
problem into a one-level nonlinear and nonsmooth program, necessary optimality conditions …