TY - JOUR
T1 - Results on Interval-Valued Optimization Problems for Vector Variational-Like Inequalities
AU - Atre , Harsha
AU - Singh , Deepak
AU - Dar , Bilal Ahmad
AU - Chauhan , Om Prakash
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 884
EP - 903
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.884
UR - https://global-sci.org/intro/article_detail/jnma/24107.html
KW - Interval-valued programming, invexity, LU-optimal, variational-like inequality problem.
AB - <p style="text-align: justify;">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.</p>