Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces

被引：15

作者：

Ali, Muhammad Usman ^{[1
]}

Kamran, Tayyab ^{[1
,2
]}

Postolache, Mihai ^{[3
]}

机构：

[1] Natl Univ Sci & Technol H12, Sch Nat Sci, Dept Math, Islamabad, Pakistan

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

[3] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期

关键词：

Gauge space; graph; fixed point; nonlinear integral equation; METRIC-SPACES; GENERALIZED CONTRACTIONS; MAPPINGS;

D O I：

10.22436/jnsa.008.05.34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend gauge spaces in the setting of b metric spaces and prove fixed point theorems for multivalued mappings in this new setting endowed with a graph. An example is constructed to substantiate our result. We also discuss possible application of our result for solving integral equations. (C) 2015 All rights reserved.

引用

页码：847 / 855

页数：9

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