Fixed point theorems for φ-contractions

被引：7

作者：

Samreen, Maria ^{[1
]}

Kiran, Quanita ^{[2
]}

Kamran, Tayyab ^{[3
]}

机构：

[1] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad, Pakistan

[2] Natl Univ Sci & Technol, Sch Elect Engn & Comp Sci, Islamabad, Pakistan

[3] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

fixed points; b-metric space; gauge functions; B-METRIC SPACES; HIGH-ORDER; CONVERGENCE; PRINCIPLE;

D O I：

10.1186/1029-242X-2014-266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function phi when the underlying set is endowed with a b-metric. Our results generalize/extend the main results of Proinov and thus we obtain as special cases some results of Mysovskih, Rheinboldt, Gel'man, and Huang. We also furnish an example to substantiate the validity of our results. Subsequently, an existence theorem for the solution of initial value problem has also been established.

引用

页数：16

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