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

被引:12
|
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
相关论文
共 25 条
  • [1] Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria
    Jayswal, Anurag
    Ahmad, I.
    Banerjee, Jonaki
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1391 - 1411
  • [2] Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria
    Anurag Jayswal
    I. Ahmad
    Jonaki Banerjee
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1391 - 1411
  • [3] Saddle-Point Type Optimality for Interval-Valued Programming
    Sun, Yuhua
    Wang, Laisheng
    [J]. 2012 2ND INTERNATIONAL CONFERENCE ON UNCERTAINTY REASONING AND KNOWLEDGE ENGINEERING (URKE), 2012, : 252 - 255
  • [4] Duality and saddle-point type optimality for interval-valued programming
    Sun, Yuhua
    Xu, Xiumei
    Wang, Laisheng
    [J]. OPTIMIZATION LETTERS, 2014, 8 (03) : 1077 - 1091
  • [5] Duality and saddle-point type optimality for interval-valued programming
    Yuhua Sun
    Xiumei Xu
    Laisheng Wang
    [J]. Optimization Letters, 2014, 8 : 1077 - 1091
  • [6] On optimality and duality in interval-valued variational problem with B-(p, r)-invexity
    Debnath, Indira P.
    Pokharna, Nisha
    [J]. RAIRO-OPERATIONS RESEARCH, 2021, 55 (03) : 1909 - 1932
  • [7] Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems
    Jha, Shalini
    Das, Prasun
    Bandhyopadhyay, Sanghamitra
    [J]. RESULTS IN CONTROL AND OPTIMIZATION, 2021, 4
  • [8] Lagrange Duality and Saddle-Point Optimality Conditions for Nonsmooth Interval-Valued Multiobjective Semi-Infinite Programming Problems with Vanishing Constraints
    Upadhyay, Balendu Bhooshan
    Sain, Shivani
    Stancu-Minasian, Ioan
    [J]. AXIOMS, 2024, 13 (09)
  • [9] Optimality, duality and saddle point analysis for interval-valued nondifferentiable multiobjective fractional programming problems
    Dar, Bilal Ahmad
    Jayswal, Anurag
    Singh, Deepak
    [J]. OPTIMIZATION, 2021, 70 (5-6) : 1275 - 1305
  • [10] SADDLE POINT CRITERIA AND WOLFE DUALITY FOR CONVEX NONSMOOTH INTERVAL-VALUED VECTOR OPTIMIZATION PROBLEMS
    Antczak, Tadeusz
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2020, 16 (01): : 1 - 18