Saddle-point optimality criteria involving (ρ, b, d)-invexity and (ρ, b, d)-pseudoinvexity in interval-valued optimisation problems

被引:13
作者
Treanta, Savin [1 ]
机构
[1] Univ Politehn Bucuresti, Fac Appl Sci, Dept Appl Math, 313 Splaiul Independentei, Bucharest 060042, Romania
关键词
Interval-valued variational control problem; LU-optimal solution; saddle-point optimality criteria; (rho; b; d)-invexity; d)-pseudoinvexity; PROGRAMMING PROBLEMS; SUFFICIENCY;
D O I
10.1080/00207179.2020.1837960
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, under new generalised convexity assumptions, we investigate some connections between an LU-optimal solution of a variational control problem governed by interval-valued multiple integral functional and a saddle-point associated with an LU-Lagrange functional corresponding to a modified interval-valued variational control problem. Also, in order to illustrate the main results and their effectiveness, we present an application that optimises the mass of a flat plate with interval-valued density that depends on the current point.
引用
收藏
页码:1042 / 1050
页数:9
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