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
来源：
FILOMAT | 2017年 / 31卷 / 05期
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
  • [1] On F-Contractions for Weak α-Admissible Mappings in Metric-Like Spaces
    Vujakovic, Jelena
    Mitrovic, Slobodanka
    Mitrovic, Zoran D.
    Radenovic, Stojan
    MATHEMATICS, 2020, 8 (09)
  • [2] Fuzzy fixed points of fuzzy mappings via F-contractions and an application
    Ahmad, Jamshaid
    Aydi, Hassen
    Mlaiki, Nabil
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (04) : 5487 - 5493
  • [3] FIXED POINT RESULTS FOR MULTIVALUED F-CONTRACTIONS WITH APPLICATION TO INTEGRAL AND MATRIX EQUATIONS
    Hussain, Nawab
    Latif, Abdul
    Iqbal, Iram
    Kutbi, M. A.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (11) : 2297 - 2311
  • [4] Exploring Integral F-Contractions with Applications to Integral Equations and Fractional BVPs
    Nisar, Zubair
    Mehmood, Nayyar
    Azam, Akbar
    Ali, Faryad
    Al-Kadhi, Mohammed A.
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
  • [5] COUPLED COINCIDENCE POINT FOR f(ψ, φ)-CONTRACTIONS VIA GENERALIZED α-ADMISSIBLE MAPPINGS WITH AN APPLICATION
    Albaqeri, Dhekra M.
    Hammad, Hasanen A.
    De La Sen, Manuel
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (06): : 1083 - 1107
  • [6] Fixed point theorems for weakly β-admissible pair of F-contractions with application
    Nazam, Muhammad
    Hussain, Nawab
    Hussain, Aftab
    Arshad, Muhammad
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (06): : 898 - 918
  • [7] Solving integral and differential equations via fixed point results involving F-contractions
    Singh, Bijender
    Isik, Huseyin
    Singh, Vizender
    Singh, Kuldeep
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [8] Solving Fredholm Integral Equations Using Probabilistic F-Contractions
    Tahiri, Ismail
    Achtoun, Youssef
    Sefian, Mohammed Lamarti
    Radenovic, Stojan
    AXIOMS, 2025, 14 (02)
  • [9] Solving Integral Equations via Admissible Contraction Mappings
    Nallaselli, Gunasekaran
    Gnanaprakasam, Arul Joseph
    Mani, Gunaseelan
    Ege, Ozgur
    FILOMAT, 2022, 36 (14) : 4947 - 4961
  • [10] FIXED POINT RESULTS FOR α-ADMISSIBLE MULTIVALUED F-CONTRACTIONS
    Durmaz, G.
    Altun, I.
    MISKOLC MATHEMATICAL NOTES, 2016, 17 (01) : 187 - 199
12345