FIXED POINT THEOREMS FOR MULTIVALUED γ-FG-CONTRACTIONS WITH (α*, β*)-ADMISSIBLE MAPPINGS IN PARTIAL b-METRIC SPACES AND APPLICATION

被引：0
|
作者：
Ameer, Eskandar [1 ,2 ]
Huang, Huaping [3 ]
Nazam, Muhammad [4 ]
Arshad, Muhammad [1 ]
机构：
[1] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad, Pakistan
[2] Taiz Univ, Dept Math, Taizi, Yemen
[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[4] Allama Iqbal Open Univ, Dept Math, Islamabad, Pakistan
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2019年 / 81卷 / 02期
关键词：
fixed point; partial b-metric; multivalued cyclic (alpha(*); beta(*))-type-gamma-FG-contractions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study the notion of cyclic (alpha(*), beta(*))-type-gamma-FG-contractive mapping and establish some fixed point theorems for such mappings of rational type defined on a partial b-metric space. Our work generalizes several recent results existing in the literature. We set up an example to elucidate our main result. As application of our findings, we demonstrate the existence of the solution of class of nonlinear integral equations.
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页码：97 / 108
页数：12
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