Abstract
In this paper, a new concept of generalized-affineness type of functions is introduced. This class of functions is more general than some of the corresponding ones discussed in Chuong (Nonlinear Anal Theory Methods Appl 75:5044–5052, 2018), Sach et al. (J Global Optim 27:51–81, 2003) and Nobakhtian (Comput Math Appl 51:1385–1394, 2006). These concepts are used to discuss the sufficient optimality conditions for the interval-valued programming problem in terms of the limiting/Mordukhovich subdifferential of locally Lipschitz functions. Furthermore, two types of dual problems, namely Mond–Weir type and mixed type duals are formulated for an interval-valued programming problem and usual duality theorems are derived. Our results improve and generalize the results appeared in Kummari and Ahmad (UPB Sci Bull Ser A 82(1):45–54, 2020).
| Original language | English |
|---|---|
| Pages (from-to) | 505-527 |
| Number of pages | 23 |
| Journal | Journal of the Operations Research Society of China |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2023 |
Bibliographical note
Funding Information:The authors are highly thankful to anonymous referees for their valuable suggestions/comments that helped to improve this article in its present form.
Publisher Copyright:
© 2022, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Constraint qualifications
- Duality
- Generalized invex-infine function
- Interval-valued programming
- LU-optimal
- Locally Lipschitz functions
- Mordukhovich subdifferential
ASJC Scopus subject areas
- Mathematics (all)
- Management Science and Operations Research