Year: 2025
Author: Harsha Atre, Deepak Singh, Bilal Ahmad Dar, Om Prakash Chauhan
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 884–903
Abstract
The objective of this article is to present a new class of vector interval-valued variational-like inequality problems. Based on the concepts of LU optimal and weakly LU optimal solutions, we derive some relations between the interval-valued programming and variational-like inequality problems. The study of the interplay between interval-valued optimization problems (IVOP) and vector variational-like inequalities (VVLI) combines theoretical advancements under the concept of differentiability and $\mu$- invexity. Furthermore, to demonstrate the established linkages, we provide examples and an example demonstrates how well the vector variational inequality problems may be applied to deal with (MOIVP) problems.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.884
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 884–903
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Interval-valued programming Iinvexity LU-optimal variationallike inequality problem. invexity variational-like inequality problem.