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

被引：26
|
作者：
Sintunavarat, Wutiphol [1 ]
机构：
[1] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12121, Thailand
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2016年 / 110卷 / 02期
关键词：
alpha-Admissible mappings; alpha-Regularity; b-metric spaces; Holder inequality; Nonlinear integral equations; ULAM-HYERS STABILITY; CONTRACTIVE MAPPINGS; WELL-POSEDNESS; THEOREMS; PRINCIPLE; MAPS;
D O I：
10.1007/s13398-015-0251-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this work is to introduce new nonlinear mappings in setup of b-metric spaces and prove fixed point theorems for such mappings. Examples are provided in order to distinguish these results from the known ones. At the end of paper, we apply our fixed point result to prove the existence of a solution for the following nonlinear integral equation: where with , (the set of all continuous real functions defined on [a, b]), , and are given mappings.
引用
收藏
页码：585 / 600
页数：16
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