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

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.