Fixed Points and λ-Weak Contractions

被引：0
|
作者：
Manolescu, Laura [1 ]
Juratoni, Adina [1 ]
机构：
[1] Politehn Univ Timisoara, Dept Math, Piata Victoriei 2, Timisoara 300006, Romania
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 07期
关键词：
fixed point; weak contraction; Picard operator;
D O I：
10.3390/sym15071442
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we introduce a new type of contractions on a metric space (X,d) in which the distance d(x,y) is replaced with a function, depending on a parameter ?, that is not symmetric in general. This function generalizes the usual case when ?=1/2 and can take bigger values than m1/2. We call these new types of contractions ?-weak contractions and we provide some of their properties. Moreover, we investigate cases when these contractions are Picard operators.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Fixed points for (ψ, φ)-weak contractions
    Popescu, Ovidiu
    APPLIED MATHEMATICS LETTERS, 2011, 24 (01) : 1 - 4
  • [2] The Existence of Fixed Points for Generalized Weak Contractions
    Xue, Zhiqun
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (04): : 1089 - 1095
  • [3] Weak Contractions, Common Fixed Points, and Invariant Approximations
    Nawab Hussain
    Yeol Je Cho
    Journal of Inequalities and Applications, 2009
  • [4] Weak Contractions, Common Fixed Points, and Invariant Approximations
    Hussain, Nawab
    Cho, Yeol Je
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [5] FIXED POINTS OF (ψ, φ)-WEAK CONTRACTIONS IN CONE METRIC SPACES
    Aage, C. T.
    Salunke, J. N.
    ANNALS OF FUNCTIONAL ANALYSIS, 2011, 2 (01): : 59 - 71
  • [6] Fixed points of weak contractions in cone metric spaces
    Choudhury, Binayak S.
    Metiya, N.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1589 - 1593
  • [7] Fixed Points for Weak α-ψ-Contractions in Partial Metric Spaces
    Kumam, Poom
    Vetro, Calogero
    Vetro, Francesca
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [8] Fixed Points of (α, β, F*) and (α, β, F**)-Weak Geraghty Contractions with an Application
    Alam, Khairul Habib
    Rohen, Yumnam
    Saleem, Naeem
    SYMMETRY-BASEL, 2023, 15 (01):
  • [9] Fixed Points For Weak Contractions In G-Metric Spaces
    Aage, Chintaman Tukaram
    Salunke, Jagannath Nagorao
    APPLIED MATHEMATICS E-NOTES, 2012, 12 : 23 - 28
  • [10] Fixed points of weakly contractions through occasionally weak compatibility
    Hussain, Nawab
    Shah, Masood Hussain
    Radenovic, Stojan
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (03) : 532 - 543
12345