On elliptic valued b-metric spaces and some new fixed point results with an application

被引：1
|
作者：
Ghosh, Sudipta Kumar [1 ]
Ege, Ozgur [2 ]
Ahmad, Junaid [3 ]
Aloqaily, Ahmad [4 ,5 ]
Mlaiki, Nabil [4 ]
机构：
[1] Kalinga Inst Ind Technol KIIT Deemed be Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India
[2] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkiye
[3] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan
[4] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[5] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney 2150, Australia
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 07期
关键词：
alpha-admissible mapping; rational product terms; elliptic-valued b-metric space; simulation function; Caristi-type fixed point; Urysohn integral equation; THEOREMS; MAPPINGS;
D O I：
10.3934/math.2024835
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixedpoint results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.
引用
收藏
页码：17184 / 17204
页数：21
相关论文
共 50 条
  • [1] SOME NEW FIXED POINT RESULTS FOR SINGLE VALUED MAPPINGS IN b-METRIC SPACES
    Mohanta, Sushanta Kumar
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (03): : 1295 - 1310
  • [2] On some new fixed point results in fuzzy b-metric spaces
    Dušan Rakić
    Aiman Mukheimer
    Tatjana Došenović
    Zoran D. Mitrović
    Stojan Radenović
    Journal of Inequalities and Applications, 2020
  • [3] On some new fixed point results in fuzzy b-metric spaces
    Rakic, Dusan
    Mukheimer, Aiman
    Dosenovic, Tatjana
    Mitrovic, Zoran D.
    Radenovic, Stojan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [4] Some New Fixed Point Theorems in b-Metric Spaces with Application
    Alamri, Badriah A. S.
    P. Agarwal, Ravi
    Ahmad, Jamshaid
    MATHEMATICS, 2020, 8 (05)
  • [5] New Fixed Point Results in Neutrosophic b-Metric Spaces With Application
    Saeed, Muhammad
    Ishtiaq, Umar
    Kattan, Doha A.
    Ahmad, Khaleel
    Sessa, Salvatore
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [6] Some fixed point results for multi-valued mappings in b-metric spaces
    Marwan Amin Kutbi
    Erdal Karapınar
    Jamshaid Ahmad
    Akbar Azam
    Journal of Inequalities and Applications, 2014
  • [7] Some fixed point results for multi-valued mappings in b-metric spaces
    Kutbi, Marwan Amin
    Karapinar, Erdal
    Ahmad, Jamshaid
    Azam, Akbar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] C*-ALGEBRA VALUED EXTENDED b-METRIC SPACES AND FIXED POINT RESULTS WITH AN APPLICATION
    Asim, Mohammad
    Imdad, Mohammad
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (01): : 207 - 218
  • [9] C*-algebra valued extended b-metric spaces and fixed point results with an application
    Asim, Mohammad
    Imdad, Mohammad
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2020, 82 (01): : 207 - 218
  • [10] Fixed Point Results for Multi-Valued Contractions in b-Metric Spaces and an Application
    Qawaqneh, Haitham
    Noorani, Mohd Salmi Md
    Shatanawi, Wasfi
    Aydi, Hassen
    Alsamir, Habes
    MATHEMATICS, 2019, 7 (02)
12345