Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition
<p>Abstract</p> <p>This article discusses a more general contractive condition for a class of extended (<it>p </it>≥ 2) -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 i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/59 |
| Summary: | <p>Abstract</p> <p>This article discusses a more general contractive condition for a class of extended (<it>p </it>≥ 2) -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.</p> |
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| ISSN: | 1687-1820 1687-1812 |