Fixed point theorems for improved α-Geraghty contractions in partial metric spaces

被引：14

作者：

Nazam, Muhammad ^{[1
]}

Arshad, Muhammad ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad, Pakistan

[2] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Fixed point; alpha-Geraghty contraction; partial metric space;

D O I：

10.22436/jnsa.009.06.83

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rosa and Vetro [V. La Rosa, P. Vetro, J. Nonlinear Sci. Appl., 7 (2014), 1-10] established new fixed point results in complete partial metric spaces. In this paper, we improve the notion of alpha-Geraghty contraction type mappings and establish some common fixed point theorems for a pair of alpha-admissible mappings under an improved notion of alpha-Geraghty contraction type mappings in complete partial metric spaces. We give an example to illustrate these results. An application of main result to the existence of solution of system of integral equations is also presented. (C) 2016 All rights reserved.

引用

页码：4436 / 4449

页数：14

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