Some fixed point results in b-metric spaces approach to the existence of a solution to nonlinear integral equations

被引：4
|
作者：
Huang, Huaping [1 ]
Dosenovic, Tatjana [2 ]
Radenovic, Stojan [3 ]
机构：
[1] Beijing Normal Univ, Minist Educ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
[2] Univ Novi Sad, Fac Technol, Bulevar Cara Lazara 1, Novi Sad, Serbia
[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 11120 35, Serbia
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 03期
关键词：
alpha-admissible mapping; alpha-regular; fixed point; b-metric space; b-Cauchy; nonlinear integral equation; CONTRACTIVE MAPPINGS; THEOREMS;
D O I：
10.1007/s11784-018-0577-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to improve some recent fixed point results from Refs. Parvaneh et al. (Sahand Commun Math Anal 7(1):85-104, 2017), PaunoviAc et al. (J Nonlinear Sci Appl 10(8):4162-4174, 2017) and Faraji and Nourouzi (Sahand Commun Math Anal 7(1):49-62, 2017) in the context of b-metric spaces. The techniques used in our proofs are quite different and most remarkably some of the proofs become simpler and more straightforward. Some examples are used to show that the improvements are indeed genuine. In addition, by using our results, we obtain the existence and uniqueness of a solution to a class of nonlinear integral equations. Furthermore, we provide the precise mathematical expression of the solution.
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页数：19
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