Cyclic Generalized φ-contractions in b-metric Spaces and an Application to Integral Equations

被引：26
|
作者：
Nashine, Hemant Kumar [1 ]
Kadelburg, Zoran [2 ]
机构：
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
来源：
FILOMAT | 2014年 / 28卷 / 10期
关键词：
b-metric space; cyclic map; fixed point; control function; FIXED-POINT THEOREMS; MAPPINGS;
D O I：
10.2298/FIL1410047N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of cyclic generalized phi-contractive mappings in b-metric spaces and discuss the existence and uniqueness of fixed points for such mappings. Our results generalize many existing fixed point theorems in the literature. Examples are given to support the usability of our results. Finally, an application to existence problem for an integral equation is presented.
引用
收藏
页码：2047 / 2057
页数：11
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