Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

被引：13
|
作者：
Abbas, Mujahid [1 ,2 ]
Lael, Fatemeh [3 ]
Saleem, Naeem [4 ]
机构：
[1] Govt Coll Univ, Dept Math, Lahore 54770, Pakistan
[2] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa
[3] Buein Zahra Tech Univ, Dept Math, Buein Zahra 3451745346, Qazvin, Iran
[4] Univ Management & Technol, Dept Math, Lahore 54400, Pakistan
来源：
AXIOMS | 2020年 / 9卷 / 02期
关键词：
fixed point; correspondence; fuzzy b-metric space; b-metric space; MULTIVALUED CONTRACTIONS; OPTIMAL COINCIDENCE; MAPPINGS; THEOREMS;
D O I：
10.3390/axioms9020036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the concepts of psi-contraction and monotone psi-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Fixed Point Theorems for Generalized R-Contraction in b-Metric Spaces
    Wiriyapongsanon, Atit
    Phudolsitthiphat, Narawadee
    THAI JOURNAL OF MATHEMATICS, 2018, 16 : 277 - 287
  • [32] Coupled fixed point results for (φ,G)-contractions of type (b) in b-metric spaces endowed with a graph
    Chifu, Cristian
    Petrusel, Gabriela
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 671 - 683
  • [33] Some Fixed Point Results in b-Metric Spaces and b-Metric-Like Spaces with New Contractive Mappings
    Jain, Kapil
    Kaur, Jatinderdeep
    AXIOMS, 2021, 10 (02)
  • [34] Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations
    Rasham, Tahair
    Shoaib, Abdullah
    Hussain, Nawab
    Alamri, Badriah A. S.
    Arshad, Muhammad
    SYMMETRY-BASEL, 2019, 11 (01):
  • [35] NEW CONTRACTIONS AND SOME FIXED POINT RESULTS WITH APPLICATION BASED ON EXTENDED QUASI b-METRIC SPACES
    Shatanawi, Wasfi
    Qawasmeh, Tariq
    Bataihah, Anwar
    Tallafha, Abdalla
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (02): : 39 - 48
  • [36] Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces
    Rasham, Tahair
    Marino, Giuseppe
    Shahzad, Aqeel
    Park, Choonkill
    Shoaib, Abdullah
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [37] Fixed Point Theorems via Orthogonal Convex Contraction in Orthogonal b-Metric Spaces and Applications
    Nallaselli, Gunasekaran
    Baazeem, Amani S.
    Gnanaprakasam, Arul Joseph
    Mani, Gunaseelan
    Javed, Khalil
    Ameer, Eskandar
    Mlaiki, Nabil
    AXIOMS, 2023, 12 (02)
  • [38] Fisher-Type Fixed Point Results in b-Metric Spaces
    Alqahtani, Badr
    Fulga, Andreea
    Karapinar, Erdal
    Ozturk, Ali
    MATHEMATICS, 2019, 7 (01)
  • [39] Existence of fixed point results in orthogonal extended b-metric spaces with application
    Javed, Khalil
    Naeem, Muhammad
    Din, Fahim Ud
    Aziz, Muhammad Rashid
    Abdeljawad, Thabet
    AIMS MATHEMATICS, 2022, 7 (04): : 6282 - 6293
  • [40] Suzuki-type fixed point results in b-metric spaces
    Roshan J.R.
    Hussain N.
    Sedghi S.
    Shobkolaei N.
    Mathematical Sciences, 2015, 9 (3) : 153 - 160
12345