Abstract
In this paper, some new extensions of Schauder's and Darbo's fixed point theorems are given. As applications of the main results, the existence of global solutions for first-order nonlinear integro-differential equations of mixed type in a real Banach space is investigated.
Recommended Citation
Z. Hao et al., "Extensions of Schauder's and Darbo's Fixed Point Theorems," Nonlinear Dynamics and Systems Theory, vol. 19, no. 3, pp. 396 - 404, InforMath Publishing Group, Jan 2019.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Darbo fixed point theorem; Kuratowksi measure of noncompactness; Nonlinear integro-differential equation; Schauder fixed point theorem
International Standard Serial Number (ISSN)
1562-8353
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2019 The Authors, All rights reserved.
Publication Date
01 Jan 2019
Comments
This research was supported financially by the NSFC (11571296, 11371221), the Fund of the Natural Science of Shandong Province (ZR2014AM034), and colleges and universities of Shandong province science and technology plan projects (J13LI01), and University outstanding scientific research innovation team of Shandong province (Modeling, optimization and control of complex systems) and Qufu Normal University Fund (XJ201126).