On a New Class of Vector Variational Control Problems. (26th October 2018)

• Record Type: Journal Article
• Authors: Treanţă, Savin
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 14(2018)
• Page Start: 1594
• Page End: 1603
• Publication Date: 2018-10-26
• Subjects: Geodesic (strongly) b-V-KT-pseudoinvexity -- Kuhn–Tucker efficiency conditions -- optimal control; 35Q93 -- 49J20 -- 26B25 -- 65K10 -- 90C29 -- 90C30 -- 58J32; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1488142
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we introduce geodesic (strongly) b -V-KT-pseudoinvex multidimensional control problems. This new class of multiobjective variational control problems, involving multiple integral cost functionals, is described such that every geodesic Kuhn–Tucker point is geodesic efficient solution. In addition, to illustrate the effectiveness of our main result, the paper is completed with an application.