Skip to main content

Advertisement

We’d like to understand how you use our websites in order to improve them. Register your interest.

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

Abstract

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.

Publisher note

To access the full article, please see PDF

Author information

Affiliations

Authors

Corresponding author

Correspondence to Kazimierz Włodarczyk.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Włodarczyk, K., Plebaniak, R. Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces. Fixed Point Theory Appl 2010, 864536 (2009). https://doi.org/10.1155/2010/864536

Download citation

Keywords

  • Dynamic System
  • Generalize Sequence
  • Dynamic Process
  • Differential Geometry
  • Convergence Theorem