On a General Contractive Condition for Cyclic Self-Mappings
نویسنده
چکیده
This paper is concerned with p ≥ 2 -cyclic self-mappings T : ⋃i∈p Ai → ⋃ i∈p Ai in a metric space X, d , with Ai ⊂ X, T Ai ⊆ Ai 1 for i 1, 2, . . . , p, under a general contractive condition which includes as particular cases several of the existing ones in the literature. The existence and uniqueness of fixed points and best proximity points is discussed as well as the convergence to them of the iterates generated by the self-mapping from given initial points.
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* Correspondence: manuel. [email protected] Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo. 644-Bilbao, 48080Bilbao, Spain Full list of author information is available at the end of the article Abstract This article discusses a more general contractive condition for a class of extended (p ≥ 2) -cyclic self-mappings on the union of ...
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011