Some fixed point results via measure of noncompactness

被引：2
|
作者：
Chen, Chi-Ming [1 ]
Karapinar, Erdal [2 ,3 ]
机构：
[1] Natl Tsing Hua Univ, Inst Computat & Modeling Sci, Hsinchu, Taiwan
[2] Atilim Univ, Dept Math, TR-06586 Ankara, Turkey
[3] King Abdulaziz Univ, NAAM Res Grp, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 07期
关键词：
Measure of noncompactness; Meir-Keeler-type set contraction; fixed points; THEOREMS;
D O I：
10.22436/jnsa.010.07.50
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker phi-Meir-Keeler type contractions, asymptotic weaker phi-Meir-Keeler type contractions, asymptotic sequence {phi(i)}-Meir-Keeler type contraction, xi-generalized comparison type contraction, and R-functional type psi-contractions. Our results improve and hence cover the well-known Darbo's fixed point theorem, and several related recent fixed point results. (C) 2017 All rights reserved.
引用
收藏
页码：4015 / 4024
页数：10
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