Generalized Virtually Stable Maps and Their Associated Sequences. (23rd June 2013)

• Record Type: Journal Article
• Authors: Chaoha, P.; Iampiboonvatana, S.; Intrakul, J.
• Other Names: Matkowski Janusz Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-06-23
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/237858
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We extend the concept of virtual stability of continuous self-maps to arbitrary selfmaps and investigate the structure of sequences associated with uniformly virtually stable selfmaps. We also obtain a necessary and sufficient condition for a uniformly virtually stable selfmap to have the largest possible associated sequence. Examples of a uniformly virtually stable selfmap having the prescribed largest sequence and a uniformly virtually stable selfmap having no largest sequence are given.