On Maia type fixed point results via implicit relation

被引:0
|
作者
Bera, Ashis [1 ]
Mondal, Pratikshan [2 ]
Garai, Hiranmoy [3 ]
Dey, Lakshmi Kanta [4 ]
机构
[1] Vellore Inst Technol Chennai, Dept Math, Chennai, India
[2] Durgapur Govt Coll, Dept Math, Durgapur, India
[3] Siliguri Govt Polytech, Dept Sci & Humanities, Siliguri, India
[4] Natl Inst Technol Durgapur, Dept Math, Durgapur, India
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 09期
关键词
metric space; fixed point; A-contractions; A-contraction; enriched contractions; THEOREMS;
D O I
10.3934/math.20231124
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In order to study Maia type fixed point results for several well-known contractions, we suggest two novel contractions called 5t-contraction and 5t & PRIME;-contraction. The majority of the Maia type fixed point results for various contractions can now be unified through these, which eliminate the need to manage various contractions individually. The advantage of including such contractions in the study of Maia type fixed point results has been demonstrated in suitable examples. We present an application of one of our established results towards the conclusion of the paper.
引用
收藏
页码:22067 / 22080
页数:14
相关论文
共 50 条
  • [1] Maia type fixed point results via C-class function
    Ansari, Arslan Hojat
    Khan, Mohammad Saeed
    Rakocevic, Vladimir
    [J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (02) : 227 - 244
  • [2] Maia-Perov type fixed point results for Presic type operators
    Balazs, Margareta-Eliza
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2017, 33 (03) : 265 - 274
  • [3] MAIA TYPE FIXED POINT RESULTS FOR MULTIVALUED F-CONTRACTIONS
    Olgun, Murat
    Alyildiz, Tugce
    Bicer, Ozge
    Altun, Ishak
    [J]. MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 819 - 829
  • [4] ON COMMON FIXED POINT RESULTS VIA IMPLICIT RELATIONS
    Garai, Hiranmoy
    Mondal, Pratikshan
    Dey, Lakshmi kanta
    [J]. MISKOLC MATHEMATICAL NOTES, 2023, 24 (03) : 1337 - 1350
  • [5] Implicit Relation And Eldestein-Suzuki Type Fixed Point Results In Cone Metric Spaces
    Moradlou, Fridoun
    Salimi, Peyma
    Radenovic, Stojan
    [J]. APPLIED MATHEMATICS E-NOTES, 2014, 14 : 1 - 12
  • [6] MAIA TYPE FIXED POINT THEOREMS FOR PRESIC TYPE OPERATORS
    Balazs, Margareta-Eliza
    [J]. FIXED POINT THEORY, 2019, 20 (01): : 59 - 70
  • [7] Fixed point and homotopy results for multivalued maps satisfying an implicit relation
    Altun, Ishak
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2011, 9 (01) : 125 - 134
  • [8] Fixed point and homotopy results for multivalued maps satisfying an implicit relation
    Ishak Altun
    [J]. Journal of Fixed Point Theory and Applications, 2011, 9 : 125 - 134
  • [9] SOME RANDOM FIXED POINT RESULTS USING IMPLICIT RELATION IN HILBERT SPACES
    Rashwan, Rashwan A.
    Albaqeri, Dhekra M.
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (01): : 43 - 54
  • [10] Fixed point theorems for Maia α-ψ contractive type mappings with applications
    Kedim, Imed
    Berzig, Maher
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (01)