Generalized Contractions on Extended b-Metric Space Endowed With a Graph

被引：0
作者：
Kumar, Neeraj [1 ]
Mehra, Seema [1 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, India
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2022年 / 13卷 / 03期
关键词：
Contraction; Fixed point; Extended b-metric space; Graph; COMMON FIXED-POINT; MAPPINGS;
D O I：
10.26713/cma.v13i3.1861
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this study is to obtain fixed point and coincidence point results for interpolative Hardy Rogers and ' Ciric '-Reich-Rus type contractive type mappings in an extended b-metric space, which is a generalization of b-metric space, based on Errai et al. (Some new results of interpolative Hardy-Rogers and ' Ciric '-Reich-Rus type contraction, 2021 (2021), Article ID 9992783). We present a variety of examples which backs up our findings.
引用
收藏
页码：955 / 971
页数：17
相关论文
共 50 条
  • [21] RESULTS IN b-METRIC SPACES ENDOWED WITH THE GRAPH AND APPLICATION TO DIFFERENTIAL EQUATIONS
    Jain, Satyendra Kumar
    Meena, Gopal
    Rathour, Laxmi
    Mishra, Lakshmi Narayan
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (04): : 883 - 892
  • [22] Common fixed point results for α-ψ-contractions on a metric space endowed with graph
    Hussain, Nawab
    Arshad, Muhammad
    Shoaib, Abdullah
    Fahimuddin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [23] Rational interpolative contractions with applications in extended b-metric spaces
    Sarwar, Muhammad
    Fawad, Muhammad
    Rashid, Muhammad
    Mitrovic, Zoran D.
    Zhang, Qian-Qian
    Mlaiki, Nabil
    AIMS MATHEMATICS, 2024, 9 (06): : 14043 - 14061
  • [24] GENERALIZED Ψ-GERAGHTY-QUASI CONTRACTIONS IN b-METRIC SPACES
    Morales, J. R.
    Rojas, E. M.
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 273 - 286
  • [25] COMMON FIXED POINTS IN b-METRIC SPACES ENDOWED WITH A GRAPH
    Mohanta, Sushanta Kumar
    MATEMATICKI VESNIK, 2016, 68 (02): : 140 - 154
  • [26] (C, ψ, G) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph
    George, Reny
    Tamrakar, Ekta
    Vujakovic, Jelena
    Pathak, Hemant Kumar
    Velusamy, Selvavinayagam
    MATHEMATICS, 2019, 7 (05)
  • [27] FIXED POINTS FOR GENERALIZED α-ψ-CONTRACTIONS IN b-METRIC SPACES
    Ozturk, Vildan
    Turkoglu, Duran
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (10) : 2059 - 2066
  • [28] Rational-type contractions and their applications in extended b-metric spaces
    Mlaiki, Nabil
    Shah, Syed Khayyam
    Sarwar, Muhammad
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
  • [29] Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
    Nicolae, Adriana
    O'Regan, Donal
    Petrusel, Adrian
    GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (02) : 307 - 327
  • [30] F-Hardy Rogers Type Contractions Endowed with Mann's Iterative Scheme in Convex Generalized b-Metric Spaces
    Naz, Amna
    Batul, Samina
    Sagheer, Dur-e-Shehwar
    CONTEMPORARY MATHEMATICS, 2025, 6 (01): : 256 - 287
12345