Some fixed point and stability results in b-metric-like spaces with an application to integral equations on time scales

被引：3
作者：
Kalkan, Zeynep [1 ]
Sahin, Aynur [1 ]
Aloqaily, Ahmad [2 ,3 ]
Mlaiki, Nabil [2 ]
机构：
[1] Sakarya Univ, Fac Sci, Dept Math, TR-54050 Sakarya, Turkiye
[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[3] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney 2150, Australia
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
关键词：
stability; fixed point; b-metric-like space; T-mean nonexpansive mapping; Hammerstein integral equation; time scale; CONTRACTIONS;
D O I：
10.3934/math.2024556
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents the stability theorem for the T-Picard iteration scheme and establishes the existence and uniqueness theorem for fixed points concerning T-mean nonexpansive mappings within b-metric-like spaces. The outcome of our fixed point theorem substantiated the existence and uniqueness of solutions to the Fredholm-Hammerstein integral equations defined on time scales. Additionally, we provided two numerical examples from distinct time scales to support our findings empirically.
引用
收藏
页码：11335 / 11351
页数：17
相关论文
共 45 条
  • [1] Aage C. T., 2016, Int. J. Adv. Math., V2016, P55, DOI [10.1186/s13663-016-0565-9, DOI 10.1186/S13663-016-0565-9]
  • [2] Inequalities on time scales: A survey
    Agarwal, R
    Bohner, M
    Peterson, A
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04): : 535 - 557
  • [3] F-contraction mappings on metric-like spaces in connection with integral equations on time scales
    Agarwal, Ravi P.
    Aksoy, Umit
    Karapinar, Erdal
    Erhan, Inci M.
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (03)
  • [4] Fixed point and coupled fixed point theorems on b-metric-like spaces
    Alghamdi, Mohammed Ali
    Hussain, Nawab
    Salimi, Peyman
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] An Ulam stability result on quasi-b-metric-like spaces
    Alsulami, Hamed H.
    Gulyaz, Selma
    Karapinar, Erdal
    Erhan, Inci M.
    [J]. OPEN MATHEMATICS, 2016, 14 : 1087 - 1103
  • [6] Metric-like spaces, partial metric spaces and fixed points
    Amini-Harandi, A.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [7] The Results of Common Fixed Points in b-Metric Spaces
    Arandelovic, Ivan D.
    Mitrovic, Zoran D.
    Aloqaily, Ahmad
    Mlaiki, Nabil
    [J]. SYMMETRY-BASEL, 2023, 15 (07):
  • [8] The Numerical Solution of Fredholm-Hammerstein Integral Equations by Combining the Collocation Method and Radial Basis Functions
    Assari, Pouria
    [J]. FILOMAT, 2019, 33 (03) : 667 - 682
  • [9] On common fixed points for (α,ψ)-contractions and generalized cyclic contractions in b-metric-like spaces and consequences
    Aydi, Hassen
    Felhi, Abdelbasset
    Sahmim, Slah
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2492 - 2510
  • [10] Bakhtin I. A., 1989, Functional Analysis, V30, P26, DOI DOI 10.1039/AP9892600037
12345