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...
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2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/59 |
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doaj-df8d50639d0349e4919a4bb8fda004692020-11-24T20:54:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011159Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive conditionAgarwal RaviDe la Sen M<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> http://www.fixedpointtheoryandapplications.com/content/2011/1/59 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Agarwal Ravi De la Sen M |
| spellingShingle |
Agarwal Ravi De la Sen M Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition Fixed Point Theory and Applications |
| author_facet |
Agarwal Ravi De la Sen M |
| author_sort |
Agarwal Ravi |
| title |
Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| title_short |
Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| title_full |
Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| title_fullStr |
Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| title_full_unstemmed |
Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| title_sort |
some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2011-01-01 |
| description |
<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> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2011/1/59 |
| work_keys_str_mv |
AT agarwalravi somefixedpointtyperesultsforaclassofextendedcyclicselfmappingswithamoregeneralcontractivecondition AT delasenm somefixedpointtyperesultsforaclassofextendedcyclicselfmappingswithamoregeneralcontractivecondition |
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1716794367800246272 |