Modified F-Contractions via α-Admissible Mappings and Application to Integral Equations

被引:79
|
作者
Aydi, Hassen [1 ,2 ]
Karapinar, Erdal [3 ]
Yazidi, Habib [4 ]
机构
[1] Univ Dammam, Dept Math, Coll Educ Jubail, PO 12020, Ind Jubail 31961, Saudi Arabia
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[4] Jizan Univ, Coll Sci, Dept Math, Jizan, Saudi Arabia
关键词
alpha-admissible mappings; F-contraction; fixed point; integral equation; FIXED-POINT THEOREMS;
D O I
10.2298/FIL1705141A
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 a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.
引用
收藏
页码:1141 / 1148
页数:8
相关论文
共 50 条
  • [21] On modified α-ϕ-fuzzy contractive mappings and an application to integral equations
    Urmila Mishra
    Calogero Vetro
    Poom Kumam
    Journal of Inequalities and Applications, 2016
  • [22] On modified α-φ-fuzzy contractive mappings and an application to integral equations
    Mishra, Urmila
    Vetro, Calogero
    Kumam, Poom
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 15
  • [23] Some fixed point theorems for multivalued mappings concerning F-contractions
    Luong V. Nguyen
    Luu T. Phuong
    Nguyen T. Hong
    Xiaolong Qin
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [24] Some fixed point theorems for multivalued mappings concerning F-contractions
    Nguyen, Luong V.
    Phuong, Luu T.
    Hong, Nguyen T.
    Qin, Xiaolong
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (04)
  • [25] The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions
    Hussain, Nawab
    Ali, Ghada
    Iqbal, Iram
    Samet, Bessem
    MATHEMATICS, 2020, 8 (02)
  • [26] Fuzzy Fixed Point Results of Fuzzy Mappings on b-Metric Spaces via a*,F-Contractions
    Batul, Samina
    Sagheer, Dur-e-Shehwar
    Anwar, Muhammad
    Aydi, Hassen
    Parvaneh, Vahid
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [27] Fixed point results for multivalued mappings of Ciric type via F-contractions on quasi metric spaces
    Shatanawi, Wasfi
    Altun, Ishak
    Dag, Hacer
    OPEN MATHEMATICS, 2020, 18 : 284 - 294
  • [28] Some New Results for (α, β)-Admissible Mappings in F-Metric Spaces with Applications to Integral Equations
    Faraji, Hamid
    Mirkov, Nikola
    Mitrovic, Zoran D.
    Ramaswamy, Rajagopalan
    Abdelnaby, Ola A. Ashour
    Radenovic, Stojan
    SYMMETRY-BASEL, 2022, 14 (11):
  • [29] Fixed points of dynamic processes of set-valued F-contractions and application to functional equations
    Dorota Klim
    Dariusz Wardowski
    Fixed Point Theory and Applications, 2015
  • [30] Fixed Points of Multivalued Non-Linear F-Contractions with Application to Solution of Matrix Equations
    Iqbal, Iram
    Hussain, Nawab
    Sultana, Nazra
    FILOMAT, 2017, 31 (11) : 3319 - 3333