Volume 56, Number 4, July-August 2022
|Page(s)||2037 - 2065|
|Published online||11 July 2022|
Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity
Department of Mathematics, Indian Institute of Technology Patna, Patna, India
2 Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
3 Academy of Romanian Scientists, Ilfov 3, 050044 Bucharest, Romania
* Corresponding author: firstname.lastname@example.org
Accepted: 10 June 2022
This paper deals with multiobjective semi-infinite programming problems on Hadamard manifolds. We establish the sufficient optimality criteria of the considered problem under generalized geodesic convexity assumptions. Moreover, we formulate the Mond-Weir and Wolfe type dual problems and derive the weak, strong and strict converse duality theorems relating the primal and dual problems under generalized geodesic convexity assumptions. Suitable examples have also been given to illustrate the significance of these results. The results presented in this paper extend and generalize the corresponding results in the literature.
Mathematics Subject Classification: 90C34 / 90C46 / 90C48 / 90C29 / 58A05 / 58C05 / 49K27
Key words: Semi-infinite programming / multiobjective optimization / optimality / duality / Hadamard manifolds
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.