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| Results on Interval-Valued Optimization Problems for Vector Variational-like Inequalities |
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| KeyWord:Interval-valued programming, Iinvexity, LU-optimal, variational-like inequality problem |
| Author Name | Affiliation | | Harsha Atre | Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, 482011 (M.P.), India
National Institute of Technical Teachers' Training and Research (NITTTR), (Under Ministry of Education, Govt. of India), Bhopal, 462002 (M.P.), India | | Deepak Singh | National Institute of Technical Teachers' Training and Research (NITTTR), (Under Ministry of Education, Govt. of India), Bhopal, 462002 (M.P.), India | | Bilal Ahmad Dar | Department of Agriculture and Farmer's Welfare, Government of Jammu and Kashmir,180001 (J.\& K.), India | | Om Prakash Chauhan | Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, 482011 (M.P.), India |
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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. |
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