scholarly journals Fixed point theorems for multifunctions having KKM property on almost convex sets

2006 ◽  
Vol 319 (1) ◽  
pp. 187-198 ◽  
Author(s):  
Jyh-Chung Jeng ◽  
Hui-Chen Hsu ◽  
Young-Ye Huang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Convex Sets ◽  
Almost Convex ◽  
Kkm Property

Fixed point theorems for compact multimaps on almost -convex sets in generalized convex spaces

2007 ◽  
Vol 66 (2) ◽  
pp. 415-426 ◽  
Author(s):  
Tian-Yuan Kuo ◽  
Jyh-Chung Jeng ◽  
Young-Ye Huang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Convex Sets ◽  
Almost Convex ◽  
Convex Spaces

scholarly journals A New Version of Schauder and Petryshyn Type Fixed Point Theorems in S-Modular Function Spaces

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 15
Author(s):  
Maryam Ramezani ◽  
Hamid Baghani ◽  
Ozgur Ege ◽  
Manuel De la Sen
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Nonlinear Integral Equation ◽  
Convex Sets ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Modular Space ◽  
Ordinate Axis ◽  
Modular Function Spaces

In this paper, using the conditions of Taleb-Hanebaly’s theorem in a modular space where the modular is s-convex and symmetric with respect to the ordinate axis, we prove a new generalized modular version of the Schauder and Petryshyn fixed point theorems for nonexpansive mappings in s-convex sets. Our results can be applied to a nonlinear integral equation in Musielak-Orlicz space L p where 0 < p ≤ 1 and 0 < s ≤ p .

KKM property, S-KKM property and fixed point theorems

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1877-e1884 ◽  
Author(s):  
Hoonjoo Kim
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Kkm Property

STABILITY OF STEADY STATES AND EXISTENCE OF TRAVELING WAVES FOR A HOST-VECTOR EPIDEMIC

2011 ◽  
Vol 21 (06) ◽  
pp. 1667-1687 ◽  
Author(s):  
CHUFEN WU ◽  
PEIXUAN WENG
Keyword(s):  
Fixed Point ◽  
Singular Perturbation ◽  
Traveling Waves ◽  
Fixed Point Theorems ◽  
Convex Sets ◽  
Steady States ◽  
The Stability

We study the stability of steady states and establish the existence of traveling waves for a diffusive host-vector epidemic with a nonlocal spatiotemporal interaction. We develop the techniques of contracting-convex-sets, limit argument, singular perturbation and fixed point theorems.

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