Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces

Fixexd point theory and applications

odarczyk¹  Kazimierz Wł⁴  Robert Plebaniak⁵ 

[1] ó, Ł, Poland;Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łdź

关键词: Dynamic System;    Generalize Sequence;    Dynamic Process;    Differential Geometry;    Convergence Theorem;   

DOI  :  10.1155/2010/864536

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In cone uniform and uniform spaces, we introduce the three kinds of dissipative set-valued dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the convergence of dynamic processes and generalized sequences of iterations of these dissipative dynamic systems, and we establish conditions guaranteeing the existence of periodic points and endpoints of these dissipative dynamic systems and the convergence to these periodic points and endpoints of dynamic processes and generalized sequences of iterations of these dissipative dynamic systems. The paper includes examples.

【 授权许可】

CC BY