Optimality conditions and duality for a class of generalized convex interval-valued optimization problems

Y Guo, G Ye, W Liu, D Zhao, S Treanţǎ - Mathematics, 2021 - mdpi.com
This paper is devoted to derive optimality conditions and duality theorems for interval-valued
optimization problems based on gH-symmetrically derivative. Further, the concepts of …

Minty variational principle for nonsmooth interval-valued vector optimization problems on Hadamard manifolds

S Treanţă, P Mishra, BB Upadhyay - Mathematics, 2022 - mdpi.com
This article deals with the classes of approximate Minty-and Stampacchia-type vector
variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued …

On a class of interval-valued optimization problems

S Treanţă - Continuum Mechanics and Thermodynamics, 2022 - Springer
In this paper, we introduce the interval-valued KT-pseudoinvex variational control problems
involving multiple integral objective functionals. Specifically, a new condition of generalized …

Optimality and duality analysis for multiobjective interval-valued semi-infinite optimization problem having vanishing constraints

T Yadav, SK Gupta - Computational and Applied Mathematics, 2024 - Springer
The article focuses on a semi-infinite optimization model with a disjunctive structure of the
constraints. Salient examples of such problems are semi-infinite programming problems with …

[PDF][PDF] Robust semi-infinite interval-valued optimization problem with uncertain inequality constraints

RR Jaichander, I Ahmad, K Kummari - Korean Journal of Mathematics, 2022 - kkms.org
This paper focuses on a robust semi-infinite interval-valued optimization problem with
uncertain inequality constraints (RSIIVP). By employing the concept of LU-optimal solution …

New Class of KG-Type Symmetric Second Order Vector Optimization Problem

C Swarup, R Kumar, R Dubey, D Fathima - Axioms, 2023 - mdpi.com
In this paper, we present meanings of KG f-bonvexity/KG f-pseudobonvexity and their
generalization between the above-notice functions. We also construct various concrete non …

Optimality, duality and saddle point criteria for a robust fractional interval-valued optimization problem with uncertain inequality constraints via convexificators

K Kummari, RR Jaichander, I Ahmad - RAIRO-Operations Research, 2023 - rairo-ro.org
This article focuses on optimality conditions for a robust fractional interval-valued
optimization problem with uncertain inequality constraints (RNFIVP) based on …

Optimality conditions and duality relations in nonsmooth fractional interval-valued multiobjective optimization

NH Hung, N Van Tuyen - arXiv preprint arXiv:2212.12235, 2022 - arxiv.org
This paper deals with Pareto solutions of a nonsmooth fractional interval-valued
multiobjective optimization. We first introduce four types of Pareto solutions of the …

E-optimality and E-duality results for fractional semi-infinite optimization problems having equilibrium constraints

T Yadav, SK Gupta - OPSEARCH, 2024 - Springer
An optimization model having finite number of variables with infinite number of constraints is
called a semi-infinite optimization problem. Extensive research is being conducted in this …

On multiobjective interval-valued problems involving symmetric LU-pseudoconvexity

N Pokharna, IP Tripathi - OPSEARCH, 2024 - Springer
In this paper, a class of multiobjective interval optimization problems involving symmetrically
gH-differentiable functions is considered. A new kind of generalized convexity, symmetric LU …