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

被引:13
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
收藏
页码:847 / 855
页数:9
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