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
  • [21] COMMON FIXED POINTS FOR GENERALIZED CONTRACTION MAPPINGS IN CONVEX METRIC SPACES
    R.A.Rashwan
    M.A.Ahmed
    曲阜师范大学学报(自然科学版), 1998, (03) : 17 - 23
  • [22] COMMON FIXED POINTS OF GENERALIZED MULTIVALUED CONTRACTION ON COMPLETE METRIC SPACES
    Khandani, H.
    Vaezpour, S. M.
    Sims, B.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (06) : 1025 - 1038
  • [23] A NOTE ON THE GENERALIZED CONTRACTION CLASSES AND COMMON FIXED POINTS IN NORMED SPACES
    Farahi, Masoomeh Hosseini
    Hassani, Mahmoud
    Allahyari, Reza
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2023, 14 (02): : 1 - 12
  • [24] Common fixed points and invariant approximation for Gregus type contraction mappings
    Chandok S.
    Narang T.D.
    Rendiconti del Circolo Matematico di Palermo, 2011, 60 (1-2) : 203 - 214
  • [25] Variational relations problems via fixed points of contraction mappings
    Daniela Inoan
    Journal of Fixed Point Theory and Applications, 2017, 19 : 1571 - 1580
  • [26] Variational relations problems via fixed points of contraction mappings
    Inoan, Daniela
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1571 - 1580
  • [27] Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory
    Mohanta, Sushanta Kumar
    Kar, Ratul
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (02): : 67 - 94
  • [28] The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions
    Hussain, Nawab
    Ali, Ghada
    Iqbal, Iram
    Samet, Bessem
    MATHEMATICS, 2020, 8 (02)
  • [29] Common fixed point theorems on C-conservative mappings via ZBλ-contraction and their application
    Basil, Sushma
    Antony, Santhi
    Subramanian, Muralisankar
    JOURNAL OF ANALYSIS, 2023, 31 (01): : 365 - 386
  • [30] FIXED POINTS IN A LIMITED CONTRACTION
    MENN, M
    AMERICAN MATHEMATICAL MONTHLY, 1970, 77 (06): : 661 - &