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Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces
De la Sen Parte, Manuel 
(Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper investigates the existence of fixed points and best proximity points of p-cyclic self-maps on a set of subsets of a certain uniform space under integral-type contractive conditions. The parallel properties of ...
Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of ...
Some Fixed Point Properties of Self-Maps Constructed by Switched Sets of Primary Self-Maps on Normed Linear Spaces
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
This paper is devoted to the investigation of the existence of fixed points in a normed linear space X endowed with a norm ‖⋅‖ for self-maps f from T×X to X which are constructed from a given class of so-called primary ...
Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings
De la Sen Parte, Manuel (Hindawi Publishing Corporation, 2010)
(Hindawi Publishing Corporation, 2010)
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 ...