Treffer: Duality for Multiobjective Programming Problems with Equilibrium Constraints on Hadamard Manifolds under Generalized Geodesic Convexity

Title:
Duality for Multiobjective Programming Problems with Equilibrium Constraints on Hadamard Manifolds under Generalized Geodesic Convexity
Authors:
Balendu Bhooshan Upadhyay, Arnav Ghosh, I. M. Stancu-Minasian
Source:
WSEAS TRANSACTIONS ON MATHEMATICS. 22:259-270
Publisher Information:
World Scientific and Engineering Academy and Society (WSEAS), 2023.
Publication Year:
2023
Subject Terms:
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift Article
Language:
English
ISSN:
2224-2880
1109-2769
DOI:
10.37394/23206.2023.22.31
Rights:
URL: https://wseas.com/journals/mathematics/2023/a625106-010(2023).pdf
Accession Number:
edsair.doi...........76b78810ca5b46fd9634d6f207500c18
Database:
OpenAIRE

Weitere Informationen

This article is devoted to the study of a class of multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds (in short, (MPPEC)). We consider (MPPEC) as our primal problem and formulate two different kinds of dual models, namely, Wolfe and Mond-Weir type dual models related to (MPPEC). Further, we deduce the weak, strong as well as strict converse duality relations that relate (MPPEC) and the corresponding dual problems employing geodesic pseudoconvexity and geodesic quasiconvexity restrictions. Several suitable numerical examples are incorporated to demonstrate the significance of the deduced results. The results derived in this article generalize and extend several previously existing results in the literature.