Continuous evolution of equations and inclusions involving set-valued contraction mappings with applications to generalized fractal transforms

Continuous evolution of equations and inclusions involving set-valued contraction mappings with applications to generalized fractal transforms

Let T be a set-valued contraction mapping on a general Banach space $\mathcal{B}$. In the first part of this paper we introduce the evolution inclusion $\dot x + x \in Tx$ and study the convergence of solutions to this inclusion toward fixed points of T. Two cases are examined: (i) T has a fi...

Full description

Bibliographic Details
Main Authors: Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay
Format: Article
Language:English
Published: Texas State University 2014-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Set-valued evolution inclusions, set-valued evolution equations,
contractive set-valued functions, fixed points
Online Access:http://ejde.math.txstate.edu/Volumes/2014/142/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/142/abstr.html

Similar Items