Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 572057, 23 pages
doi:10.1155/2010/572057
Research Article

Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings

M. De la Sen

Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia)—Aptdo, 644-Bilbao, 48080 Bilbao, Spain

Received 1 September 2009; Accepted 22 February 2010

Academic Editor: Wataru Takahashi

Copyright © 2010 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some mutual relations between p-cyclic contractive self-mappings, p-cyclic Kannan self-mappings, and Meir-Keeler p-cyclic contractions are stated. On the other hand, related results about the existence of the best proximity points and existence and uniqueness of fixed points are also formulated.