Article
Extensions of Schauder's and Darbo's Fixed Point Theorems
Nonlinear Dynamics and Systems Theory
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.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Darbo fixed point theorem,
- Kuratowksi measure of noncompactness,
- Nonlinear integro-differential equation,
- Schauder fixed point theorem
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2019 The Authors, All rights reserved.
Publication Date
1-1-2019
Publication Date
01 Jan 2019
Disciplines
Citation Information
Zhaocai Hao, Martin Bohner and Junjun Wang. "Extensions of Schauder's and Darbo's Fixed Point Theorems" Nonlinear Dynamics and Systems Theory Vol. 19 Iss. 3 (2019) p. 396 - 404 ISSN: 1562-8353 Available at: http://works.bepress.com/martin-bohner/198/
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).