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Volume 7, Issue 3
Results on Interval-Valued Optimization Problems for Vector Variational-Like Inequalities

Harsha Atre, Deepak Singh, Bilal Ahmad Dar & Om Prakash Chauhan

J. Nonl. Mod. Anal., 7 (2025), pp. 884-903.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • AMS Subject Headings

90C26, 90C30, 90C33

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-884, author = {Atre , HarshaSingh , DeepakDar , Bilal Ahmad and Chauhan , Om Prakash}, title = {Results on Interval-Valued Optimization Problems for Vector Variational-Like Inequalities}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.884}, url = {http://global-sci.org/intro/article_detail/jnma/24107.html} }
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 -

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.

Atre , HarshaSingh , DeepakDar , Bilal Ahmad and Chauhan , Om Prakash. (2025). Results on Interval-Valued Optimization Problems for Vector Variational-Like Inequalities. Journal of Nonlinear Modeling and Analysis. 7 (3). 884-903. doi:10.12150/jnma.2025.884
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