Best Proximity Point and Existence of the Positive Definite Solution for Matrix Equations

被引：0
|
作者：
Jain, Satyendra Kumar [1 ]
Meena, Gopal [2 ]
Jain, Rashmi [2 ]
机构：
[1] St Aloysius Coll, Dept Math, Jabalpur, MP, India
[2] Jabalpur Engn Coll, Dept Appl Math, Jabalpur, MP, India
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷
关键词：
best proximity point; matrix equations; positive definite solution;
D O I：
10.28924/2291-8639-21-2023-64
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research, & alpha; - & psi; - & theta; contraction has been defined to find the best proximity point in partially ordered metric spaces. Proper support for the result has been given in the form of a suitable example. The third part is fully devoted to the positive definite solution of matrix equations.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] EXISTENCE CONDITIONS OF POSITIVE-DEFINITE SOLUTIONS FOR ALGEBRAIC MATRIX RICCATI-EQUATIONS - COMMENTS
    KWONG, RH
    RICHARDSON, TJ
    AUTOMATICA, 1989, 25 (01) : 153 - 153
  • [22] On positive definite solution of a nonlinear matrix equation
    Peng, Zhen-yun
    El-Sayed, Salah M.
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 14 (02) : 99 - 113
  • [23] The positive definite solution to a nonlinear matrix equation
    Meng, Jie
    Kim, Hyun-Min
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (04): : 653 - 666
  • [24] Positive definite solution of a nonlinear matrix equation
    Bose, Snehasish
    Hossein, Sk Monowar
    Paul, Kallol
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (03) : 627 - 643
  • [25] Positive Definite Solution of Lyapunov Matrix Equation
    Huang, Li-Min
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 102 - 104
  • [26] Positive definite solution of a nonlinear matrix equation
    Snehasish Bose
    Sk Monowar Hossein
    Kallol Paul
    Journal of Fixed Point Theory and Applications, 2016, 18 : 627 - 643
  • [27] The Hermitian Positive Definite Solution of Matrix Equations X+A.X-1A = I
    Wei, Peiyu
    Tan, Boxue
    Liu, Xueting
    2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 4, 2009, : 497 - +
  • [28] Nonsmooth Newton's method for Positive semi definite solution of nonlinear matrix equations
    Benahmed, Boubakeur
    Nachi, Khadra
    Yassine, Adnan
    2013 5TH INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND APPLIED OPTIMIZATION (ICMSAO), 2013,
  • [29] ON THE EXISTENCE OF A POSITIVE-DEFINITE SOLUTION OF THE MATRIX EQUATION X=A(T)X(-1)A=I
    ENGWERDA, JC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 194 : 91 - 108
  • [30] POSITIVE DEFINITE SOLUTIONS OF CERTAIN NONLINEAR MATRIX EQUATIONS
    Mousavi, Z.
    Mirzapour, F.
    Moslehian, M. S.
    OPERATORS AND MATRICES, 2016, 10 (01): : 113 - 126
12345