Asymptotic Behavior of Almost-Orbits of Nonlinear Semigroups of Non- Lipschitzian Mappings in Hilbert Spaces

1993 ◽  
Vol 117 (2) ◽  
pp. 385 ◽  
Author(s):  
Kok-Keong Tan ◽  
Hong-Kun Xu
Keyword(s):  
Asymptotic Behavior ◽  
Hilbert Spaces ◽  
Nonlinear Semigroups ◽  
Lipschitzian Mappings

scholarly journals The Split Common Fixed Point Problem for Quasi-Total Asymptotically Nonexpansive Uniformly Lipschitzian Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Jing Na ◽  
Lin Wang ◽  
Zhaoli Ma
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Hilbert Spaces ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Lipschitzian Mappings ◽  
Common Fixed Point Problem ◽  
Asymptotically Nonexpansive ◽  
Uniformly Lipschitzian Mapping ◽  
Split Common Fixed Point

We introduce an algorithm for solving the split common fixed point problem for quasi-total asymptotically nonexpansive uniformly Lipschitzian mapping in Hilbert spaces. The results presented in this paper improve and extend some recent corresponding results.

scholarly journals Global solutions of semilinear heat equations in Hilbert spaces

1996 ◽  
Vol 1 (3) ◽  
pp. 263-276 ◽  
Author(s):  
G. Mihai Iancu ◽  
M. W. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Hilbert Spaces ◽  
Differential Operators ◽  
Global Solutions ◽  
Linear Operators ◽  
Heat Equations ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Strongly Continuous Semigroups ◽  
Pseudo Differential Operators

The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations inL 2(ℝn)governed by pseudo-differential operators are given.

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