Common fixed points via asymptotic contraction and application to matrix equations

被引：6
|
作者：
Bera, Ashis [1 ]
Dey, Lakshmi Kanta [1 ]
Garai, Hiranmoy [1 ]
Raha, Sayandeepa [2 ]
机构：
[1] Natl Inst Technol, Dept Math, Durgapur, India
[2] Natl Inst Technol, Dept Biotechnol, Durgapur, India
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 04期
关键词：
Asymptotic contration; Common fixed point; Matrix equation; Positive definite matrix;
D O I：
10.1007/s40314-020-01358-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we employ the notion asymptotic contraction of Kirk (J Math Anal Appl 277:645-650, 2003) to obtain some common fixed point results of a pair of mappings and a finite family of mappings. To execute this, we introduce the notion of asymptotic contractions in pair for a finite family of mappings. Then, we obtain our prescribed common fixed point results using these asymptotic contractions in pair concepts. After this, we apply these results to analyze the unique common solution to a certain kind of pair of matrix equations. Finally, we provide some numerical examples to authenticate our results using figurative presentations.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Common fixed points via asymptotic contraction and application to matrix equations
    Ashis Bera
    Lakshmi Kanta Dey
    Hiranmoy Garai
    Sayandeepa Raha
    Computational and Applied Mathematics, 2020, 39
  • [2] ON COMMON AND SEQUENTIAL FIXED POINTS VIA ASYMPTOTIC REGULARITY
    Bisht, Ravindra Kishor
    Panja, Sayantan
    Roy, Kushal
    Saha, Mantu
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (01): : 163 - 176
  • [3] Common Fixed Points via Weakly (psi, S, C)-Contraction Mappings on Ordered Metric Spaces and Application to Integral Equations
    Nashine, Hemant Kumar
    THAI JOURNAL OF MATHEMATICS, 2014, 12 (03): : 729 - 747
  • [4] On asymptotic regularity and common fixed points
    Bisht, Ravindra K.
    Singh, Narendra K.
    JOURNAL OF ANALYSIS, 2020, 28 (03): : 847 - 852
  • [5] On asymptotic regularity and common fixed points
    Ravindra K. Bisht
    Narendra K. Singh
    The Journal of Analysis, 2020, 28 : 847 - 852
  • [6] Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations
    Pragati Gautam
    Chanpreet Kaur
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2085 - 2102
  • [7] Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations
    Gautam, Pragati
    Kaur, Chanpreet
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (03) : 2085 - 2102
  • [8] COMMON FIXED POINTS FOR COMMUTING CONTRACTION MAPPINGS
    DEMARR, R
    PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (04) : 1139 - &
  • [9] FIXED AND COMMON FIXED-POINTS FOR GENERALIZED CONTRACTION MAPPINGS
    SINGH, KL
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (08): : 767 - 773
  • [10] Asymptotic stability of equilibria for difference equations via fixed points of enriched Presic operators
    Pacurar, Madalina
    DEMONSTRATIO MATHEMATICA, 2023, 56 (01)
12345