Optimality, scalarization and duality in linear vector semi-infinite programming. (4th May 2018)

• Record Type: Journal Article
• Authors: Kanzi, Nader; Shaker Ardekani, Javad; Caristi, Giuseppe
• Is Part Of: Optimization. Volume 67:Number 5(2018)
• Page Start: 523
• Page End: 536
• Publication Date: 2018-05-04
• Subjects: Multiple objective programming -- linear programming -- semi-infinite optimization -- optimality condition -- constraint qualification; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1454921
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper, we introduce some qualification conditions for a linear vector semi-infinite programming problem. The new qualification conditions are used for development of necessary conditions for weak efficient, isolated efficient and -efficient solutions of such a problem. Sufficient conditions for the existence of such solutions are also provided. In addition, a new general scalarization technique for solving the reference problem is presented. Finally, we propose a type of Wolf dual problem and examine weak strong duality relations.