A NEW GENERAL MEASURE OF NONCOMPACTNESS AND FIXED POINT THEOREM FOR CONDENSING OPERATORS

被引：0
|
作者：
Pham, Van Hien [1 ]
机构：
[1] Ho Chi Minh City Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷
关键词：
Condensing operator; Darbo's fixed point theorem; Measures of noncompactness;
D O I：
10.23952/jnfa.2024.13
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the new generalized Darbo's fixed point theorems (GDFT). A new version of the GDFT to a condensing maps with respect to a measure of noncompactness and control functions is proved. This new theorem generalizes some GDFT, which were recently proved in [R. Arab, H. K. Nashine, N. H. Can, T. T. Binh, Solvability of functional -integral equations (fractional order) using measure of noncompactness, Adv. Difference Equ. 2020 (2020) 12; A. Das, B. Hazarika, P. Kumam, Some new generalization of Darbo's fixed point theorem and its application on integral equations, Mathematics 7 (2019) 214; N. Khodabakhshi, S. M. Vaezpour, Common fixed point theorems via measure of noncompactness, Fixed Point theory 17 (2016) 381-386].
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页数：7
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