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

被引：81

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

页码：1141 / 1148

页数：8

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