Some fixed point iteration procedures

This paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions. The author does not claim to provide complete coverage of the literature, and admits to certain biases in the theorems that are cited herein. In sp...

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Main Author: B. E. Rhoades
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000017
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author B. E. Rhoades
author_facet B. E. Rhoades
author_sort B. E. Rhoades
collection DOAJ
description This paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions. The author does not claim to provide complete coverage of the literature, and admits to certain biases in the theorems that are cited herein. In spite of these shortcomings, however, this paper should be a useful reference for those persons wishing to become better acquainted with the area.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1991-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-23fda23648164552b17899c279c274402025-02-03T06:01:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114111610.1155/S0161171291000017Some fixed point iteration proceduresB. E. Rhoades0Department of Mathematics, Indiana University, Bloomington 47405, IN, USAThis paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions. The author does not claim to provide complete coverage of the literature, and admits to certain biases in the theorems that are cited herein. In spite of these shortcomings, however, this paper should be a useful reference for those persons wishing to become better acquainted with the area.http://dx.doi.org/10.1155/S0161171291000017fixed point iteration.
spellingShingle B. E. Rhoades
Some fixed point iteration procedures
International Journal of Mathematics and Mathematical Sciences
fixed point iteration.
title Some fixed point iteration procedures
title_full Some fixed point iteration procedures
title_fullStr Some fixed point iteration procedures
title_full_unstemmed Some fixed point iteration procedures
title_short Some fixed point iteration procedures
title_sort some fixed point iteration procedures
topic fixed point iteration.
url http://dx.doi.org/10.1155/S0161171291000017
work_keys_str_mv AT berhoades somefixedpointiterationprocedures