coincidence theorem
Recently Published Documents


TOTAL DOCUMENTS

51
(FIVE YEARS 1)

H-INDEX

8
(FIVE YEARS 0)

2021 ◽  
Vol 29 (1) ◽  
pp. 201-209
Author(s):  
Donal O’Regan

Abstract This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.



Author(s):  
J.-P. Brasselet ◽  
A. K. M. Libardi ◽  
T. F. M. Monis ◽  
E. C. Rizziolli ◽  
M. J. Saia


2014 ◽  
Vol 92 (11) ◽  
pp. 1337-1349 ◽  
Author(s):  
Huaiqin Wu ◽  
Ruoxia Li ◽  
Sanbo Ding ◽  
Xiaowei Zhang ◽  
Rong Yao

This paper is concerned with the complete periodic antisynchronization issue of memristor-based neural networks with mixed time-varying delays. Under the framework of Filippov solutions of the differential equations with discontinuous right-hand side, based on Mawhin-like coincidence theorem in set-valued analysis theory, the proof of the existence of periodic solution is presented. By applying the Lyapunov–Krasovskii functional approach, adaptive controller is designed and unknown control parameters of the slave system are determined by adaptive laws, and the complete periodic adaptive antisynchronization condition is addressed to ensure the slave system global antisynchronization with the master system. An illustrative example is given to demonstrate the effectiveness of the obtained results.



Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1307-1313
Author(s):  
Nasrin Karamikabir ◽  
Abdolrahman Razani

In this paper, a coincidence theorem is obtained which is generalization of Ky Fan?s fixed point theorem in modular function spaces. A modular version of Fan?s minimax inequality is proved. Moreover, some best approximation theorems are presented for multi-valued mappings.



2014 ◽  
Vol 27 (4) ◽  
pp. 1775-1781 ◽  
Author(s):  
Akbar Azam ◽  
Maliha Rashid


2013 ◽  
Vol 17 (2) ◽  
pp. 331-340
Author(s):  
Aram Arutyunov ◽  
Boris Gelman ◽  
Valeri Obukhovskii


2013 ◽  
Vol 838-841 ◽  
pp. 2219-2222
Author(s):  
He Rui Li ◽  
Kai Ting Wen

In this paper, MFC mappings is introduced and Ky Fan matching theorems for MFC mappings with transfer compactly open values are established in noncompact complete FC-metric spaces. As applications, a Fan-Browder type coincidence theorem and a minimax inequality are obtained. Our results unify, improve and generalize some known results in recent literature.



2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Huaiqin Wu ◽  
Luying Zhang ◽  
Sanbo Ding ◽  
Xueqing Guo ◽  
Lingling Wang

This paper investigates the complete periodic synchronization of memristor-based neural networks with time-varying delays. Firstly, under the framework of Filippov solutions, by usingM-matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system is proved. Secondly, complete periodic synchronization is considered for memristor-based neural networks. According to the state-dependent switching feature of the memristor, the error system is divided into four cases. Adaptive controller is designed such that the considered model can realize global asymptotical synchronization. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.



2012 ◽  
Vol 140 (7) ◽  
pp. 2537-2541
Author(s):  
Pedro L. Q. Pergher
Keyword(s):  




Sign in / Sign up

Export Citation Format

Share Document