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arXiv · 1208.0758

On pseudocontractions in cyclic maps

M. De la Sen
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Abstract

This paper discusses a more general contractive condition for a class of extended cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same subsets of its domain. If the space is uniformly convex and the subsets are non-empty, closed and convex then all the iterates converge to a unique closed limiting finite sequence which contains the best proximity points of adjacent subsets and reduces to a unique fixed point if all such subsets intersect.

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M. De la Sen. 2012-08-03. On pseudocontractions in cyclic maps. https://arxiv.org/abs/1208.0758

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