Characterization of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si10.svg"><mml:mrow><mml:mi>L</mml:mi><mml:mi>U</mml:mi></mml:mrow></mml:math>-efficiency and saddle-point criteria for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e30" altimg="si11.svg"><mml:mi>F</mml:mi></mml:math>-approximated multiobjective interval-valued variational problems

Jha, Shalini; Das, Prasun; Bandhyopadhyay, Sanghamitra

doi:10.1016/j.rico.2021.100044

Cited by 5 publications

(1 citation statement)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Connections between the solutions of some interval-valued multiple objective optimization problems and vector variational inequalities have been derived by Zhang et al [10]. Jha et al [11], via the associated modified problems and saddle point criteria, presented several results for interval-valued variational problems. Treanţȃ [12,13] provided important connections between the notions of optimal solution, KT-pseudoinvex point, and a saddle-point of an interval-valued functional of the Lagrange type.…”

Section: Introductionmentioning

confidence: 99%

On Weak Variational Control Inequalities via Interval Analysis

Treanţă

Saeed

2023

Mathematics

View full text Add to dashboard Cite

This paper deals with the connections between the interval-valued optimal control problem and the associated weak variational control inequality. More precisely, by considering the (strictly) LU-convexity and path independence properties of the involved curvilinear integral functionals, we establish a result on the existence of LU-optimal solutions for the interval-valued optimal control problem under study, and a result on the existence of solutions for the associated weak variational control inequality.

show abstract

Section: Introductionmentioning

confidence: 99%

On Weak Variational Control Inequalities via Interval Analysis

Treanţă

Saeed

2023

Mathematics

View full text Add to dashboard Cite

show abstract

Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity

Abdulaleem

2023

International Journal of Computer Mathematics

View full text Add to dashboard Cite

New Approach for Investigating a Class of Multi-Cost Interval-Valued Extremization Problems

Treanţă,

Özgül

2024

Information

View full text Add to dashboard Cite

This study concentrates on a new approach for solving a class of multi-cost convex interval-valued extremization problems. Namely, we apply the weighting technique to find efficient solutions to these problems, defined in terms of LU-efficiency and weak LU-efficiency. Thus, an auxiliary weighting extremization problem related to the considered multi-cost interval-valued extremization problem is introduced. Under appropriate convexity hypotheses, an equivalence is established between the (weakly) LU-efficient solution of the multi-cost interval-valued extremization problem and the optimal solution of the auxiliary weighting extremization problem. Also, a numerical example is formulated to support the theoretical developments derived in the paper.

show abstract

Characterization ofLU-efficiency and saddle-point criteria forF-approximated multiobjective interval-valued variational problems

Cited by 5 publications

References 25 publications

On Weak Variational Control Inequalities via Interval Analysis

On Weak Variational Control Inequalities via Interval Analysis

Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity

New Approach for Investigating a Class of Multi-Cost Interval-Valued Extremization Problems

Contact Info

Product

Resources

About