On Semi-Infinite Optimization Problems with Vanishing Constraints Involving Interval-Valued Functions

Bhuwan Chandra Joshi, Murari Kumar Roy and Abdelouahed Hamdi ()
Additional contact information
Bhuwan Chandra Joshi: Department of Mathematics, School of Advanced Engineering, UPES, Dehradun 248007, India
Murari Kumar Roy: Department of Mathematics, Graphic Era (Deemed to Be University), Dehradun 248002, India
Abdelouahed Hamdi: Mathematics Program, Department of Mathematics and Statistics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar

Mathematics, 2024, vol. 12, issue 7, 1-19

Abstract: In this paper, we examine a semi-infinite interval-valued optimization problem with vanishing constraints (SIVOPVC) that lacks differentiability and involves constraints that tend to vanish. We give definitions of generalized convex functions along with supportive examples. We investigate duality theorems for the SIVOPVC problem. We establish these theorems by creating duality models, which establish a relationship between SIVOPVC and its corresponding dual models, assuming generalized convexity conditions. Some examples are also given to illustrate the results.

Keywords: vanishing constraints; Mond–Weir-type duality; Wolfe-type duality; semi-infinite interval-valued optimization problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/7/1008/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/7/1008/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:7:p:1008-:d:1365490

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().