Paired contractive mappings and fixed point results

被引：0
|
作者：
Chand, Deep [1 ]
Rohen, Yumnam [1 ,2 ]
机构：
[1] Natl Inst Technol, Dept Math, Imphal 795004, Manipur, India
[2] Manipur Univ, Dept Math, Imphal 795003, Manipur, India
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 01期
关键词：
metric space; Banach contraction; paired contraction (PC); fixed point; THEOREM;
D O I：
10.3934/math.2024097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we explored a novel type of contraction, known as paired contraction (PC), to establish fixed points in metric spaces. It has been demonstrated that mappings possessing the PC property are continuous. We have also provided proofs for the existence of fixed points for such mappings with the classical Banach fixed point theorem emerging as a corollary. Furthermore, we presented examples of mappings that do not satisfy the standard contraction condition, but do exhibit the PC property.
引用
收藏
页码：1959 / 1968
页数：10
相关论文
共 50 条
  • [21] Fixed point theorems for α-ψ-quasi contractive mappings in metric spaces
    Seong-Hoon Cho
    Jong-Sook Bae
    Fixed Point Theory and Applications, 2013
  • [22] Some fixed point theorems for (α, ψ)-rational type contractive mappings
    Alsulami, Hamed H.
    Chandok, Sumit
    Taoudi, Mohamed-Aziz
    Erhan, Inci M.
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [23] EXISTENCE OF A FIXED POINT AND STABILITY RESULTS FOR CONTRACTIVE MAPPINGS ON METRIC SPACES WITH GRAPHS
    Reich, Simeon
    Zaslavski, Alexander j.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2024, 63 (01) : 233 - 244
  • [24] Fixed Point Results for α*-ψ-Dominated Multivalued Contractive Mappings Endowed with Graphic Structure
    Rasham, Tahair
    Shoaib, Abdullah
    Alamri, Badriah A. S.
    Asif, Awais
    Arshad, Muhammad
    MATHEMATICS, 2019, 7 (03):
  • [25] Common Fuzzy Fixed Point Results for F-Contractive Mappings with Applications
    Lateef, Durdana
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [26] Results on Discontinuity at Fixed Point for a New Class of F-Contractive Mappings
    Debnath, Pradip
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (04): : 21 - 32
  • [27] Fixed point results for contractive mappings in fuzzy metric spaces and its applications
    Rashid, M. H. M.
    Altaweel, Nifeen Hussain
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (06) : 8021 - 8040
  • [28] Fixed point results for multivalued contractive maps
    B A Bin Dehaish
    Abdul Latif
    Fixed Point Theory and Applications, 2012
  • [29] Fixed point results for multivalued contractive maps
    Bin Dehaish, B. A.
    Latif, Abdul
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [30] FIXED POINT THEOREMS FOR alpha-CONTRACTIVE MAPPINGS
    Afshari, Hojjat
    Sajjadmanesh, Mojtaba
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2015, 2 (02): : 65 - 72
12345