Result: On Interval-Valued Multiobjective Programming Problems and Vector Variational-Like Inequalities Using Limiting Subdifferential

Title:
On Interval-Valued Multiobjective Programming Problems and Vector Variational-Like Inequalities Using Limiting Subdifferential
Authors:
Priyanka Mishra, B. B. Upadhyay
Source:
Modeling and Optimization in Science and Technologies ISBN: 9783030729288
Publisher Information:
Springer International Publishing, 2021.
Publication Year:
2021
Document Type:
Book Part of book or chapter of book<br />Other literature type
Language:
English
DOI:
10.1007/978-3-030-72929-5_15
Access URL:
https://link.springer.com/chapter/10.1007/978-3-030-72929-5_15
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....43b5e11a3a2df2eaa69971e40a9070d1
Database:
OpenAIRE

Further Information

This article deals with the generalized vector variational-like inequalities, namely Minty and Stampacchia vector variational-like inequalities for interval-valued functions and interval-valued multiobjective programming problem. Under strong LU-invexity hypothesis, we establish equivalence among the solutions of considered vector variational-like inequalities and LU-efficient minimizers of order s of interval-valued multiobjective programming problem. Moreover, we also considered the weak forms of the considered vector variational-like inequalities and derive the equivalence between the solutions of the vector variational-like inequalities and the LU-strict minimizers of order s of interval-valued multiobjective programming problem. Furthermore, with the help of KKM-Fan theorem, we derive certain conditions under which the solutions of vector variational-like inequalities exist.