scholarly journals A Class of Fan-Browder Type Fixed-Point Theorem and Its Applications in Topological Space

2010 ◽  
Vol 2010 ◽  
pp. 1-9
Author(s):  
Yi-An Chen ◽  
Yi-Ping Zhang

A fixed-point theorem is proved under noncompact setting of general topological spaces. By applying the fixed-point theorem, several new existence theorems of solutions for equilibrium problems are proved under noncompact setting of topological spaces. These theorems improve and generalize the corresponding results in related literature.

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Peilian Guo ◽  
Yansheng Liu

By using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class ofn-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.


Inquiry ◽  
1982 ◽  
Vol 25 (3) ◽  
pp. 331-352 ◽  
Author(s):  
Audun Øfsti ◽  
Dag Østerberg

2018 ◽  
Vol 7 (4.10) ◽  
pp. 694
Author(s):  
V. Usha ◽  
M. Mallika Arjunan

In this manuscript, we work to accomplish the Krasnoselskii's fixed point theorem to analyze the existence results for an impulsive neutral integro-differential equations  with infinite delay and non-instantaneous impulses in Banach spaces. By deploying the fixed point theorem with semigroup theory, we developed the coveted outcomes.   


1990 ◽  
Vol 42 (1) ◽  
pp. 133-140 ◽  
Author(s):  
E. Tarafdar

The equivalence of a fixed point theorem and the Fan-Knaster-Kuratowski-Mazurkiewicz theorem in H-space has been established. The fixed point theorem is then applied to obtain a theorem on sets with H-convex sections, and also results on minimax inequalities.


2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Fanglei Wang ◽  
Yunhai Wang ◽  
Yukun An

Using the fixed point theorem of cone expansion/compression, we consider the existence results of positive solutions for a nonlinear semipositone telegraph system with repulsive weak singular forces.


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