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 15 条
  • [1] Aydi H., 2011, INT J MATH ANAL, V5, P631
  • [2] Aydi H., J APPL MATH, V2012
  • [3] Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces
    Aydi, Hassen
    Postolache, Mihai
    Shatanawi, Wasfi
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 298 - 309
  • [4] Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces
    Aydi, Hassen
    Damjanovic, Bosko
    Samet, Bessem
    Shatanawi, Wasfi
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 2443 - 2450
  • [5] BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181
  • [6] Jleli M., FIXED POINT IN PRESS
  • [7] Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
    Nieto, JJ
    Rodríguez-López, R
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (03): : 223 - 239
  • [8] Paesano D, 2014, RACSAM REV R ACAD A, V108, P1005, DOI 10.1007/s13398-013-0157-z
  • [9] Some fixed point theorems concerning F-contraction in complete metric spaces
    Piri, Hossein
    Kumam, Poom
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [10] A fixed point theorem in partially ordered sets and some applications to matrix equations
    Ran, ACM
    Reurings, MCB
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) : 1435 - 1443
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