Applications of Fitzpatrick Functions for Solving Optimization Problems II

被引:0
|
作者
Nashed, Z. [1 ]
Raykov, I. [2 ]
机构
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
[2] Univ Arkansas, Dept Math & Comp Sci, Pine Bluff, AR 71601 USA
关键词
Maximal monotone operator; lower semicontinuos convex maps; differential inclusions; optimization problems; cones of tangent; HILBERT-SPACES;
D O I
10.1063/1.4934321
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is a continuation of the paper [8] and presents more applications of Fitzpatrick functions for solving optimization problems. The main purpose of the present work is to introduce some new properties of Fitzpatrick functions useful for solving optimization problems, using also their already presented specific properties, as the maximal monotonicity, proper, convex and lower semi-continuity.
引用
收藏
页数:6
相关论文
共 50 条
  • [21] The applications of solving medical problems
    Jiang, Huiqin
    Chen, Rung-Ching
    ICIC Express Letters, 2014, 8 (05): : 1511 - 1517
  • [22] A New Variant of the Conjugate Descent Method for Solving Unconstrained Optimization Problems and Applications
    Awwal, Aliyu Muhammed
    Yahaya, Mahmoud Muhammad
    Pakkaranang, Nuttapol
    Pholasa, Nattawut
    MATHEMATICS, 2024, 12 (15)
  • [23] A Review on Representative Swarm Intelligence Algorithms for Solving Optimization Problems: Applications and Trends
    Tang, Jun
    Liu, Gang
    Pan, Qingtao
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2021, 8 (10) : 1627 - 1643
  • [24] Digital Annealer for High -Speed Solving of Combinatorial Optimization Problems and Its Applications
    Matsubara, Satoshi
    Takatsu, Motomou
    Miyazawa, Toshiyuki
    Shibasaki, Takayuki
    Watanabe, Yasuhiro
    Takemoto, Kazuya
    Tamura, Hirotaka
    2020 25TH ASIA AND SOUTH PACIFIC DESIGN AUTOMATION CONFERENCE, ASP-DAC 2020, 2020, : 667 - 672
  • [25] A Review on Representative Swarm Intelligence Algorithms for Solving Optimization Problems:Applications and Trends
    Jun Tang
    Gang Liu
    Qingtao Pan
    IEEE/CAAJournalofAutomaticaSinica, 2021, 8 (10) : 1627 - 1643
  • [26] Solving circle packing problems by global optimization:: Numerical results and industrial applications
    Castillo, Ignacio
    Kampas, Frank J.
    Pinter, Janos D.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 191 (03) : 786 - 802
  • [27] Improving NSGA-II For Solving Multi Objective Function Optimization Problems
    Vachhani, Vimal L.
    Dabhi, Vipul K.
    Prajapati, Harshadkumar B.
    2016 INTERNATIONAL CONFERENCE ON COMPUTER COMMUNICATION AND INFORMATICS (ICCCI), 2016,
  • [28] Ls-II: An Improved Locust Search Algorithm for Solving Optimization Problems
    Camarena, Octavio
    Cuevas, Erik
    Perez-Cisneros, Marco
    Fausto, Fernando
    Gonzalez, Adrian
    Valdivia, Arturo
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [29] A New Class of Filled Functions with Two Parameters for Solving Unconstrained Global Optimization Problems
    Chen, Qiao
    Yang, Xin-Min
    Yan, Qian
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2024, 12 (04) : 921 - 936
  • [30] Multiobjective optimization problems with modified objective functions and cone constraints and applications
    Jia Wei Chen
    Yeol Je Cho
    Jong Kyu Kim
    Jun Li
    Journal of Global Optimization, 2011, 49 : 137 - 147