Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type
نویسندگان
چکیده
* Correspondence: wepdepam@lg. ehu.es Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia) Aptdo. 644-Bilbao, 48080-Bilbao, Spain Full list of author information is available at the end of the article Abstract This article discusses three weak -contractive conditions of rational type for a class of 2-cyclic self-mappings defined on the union of two non-empty subsets of a metric space to itself. If the space is uniformly convex and the subsets are non-empty, closed, and convex, then the iterates of points obtained through the self-mapping converge to unique best proximity points in each of the subsets.
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