Results on n-tupled fixed points in complete asymptotically regular metric spaces

Results on n-tupled fixed points in complete asymptotically regular metric spaces

The notion of n-tupled fixed point is introduced by Imdad, Soliman, Choudhury and Das, Jour. of Operators, Vol. 2013, Article ID 532867. In this manuscript, we prove some n-tupled fixed point theorems (for even n) for mappings having mixed monotone property in partially ordered complete asymptotical...

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Main Author: Anupam Sharma
Format: Article
Language:English
Published: SpringerOpen 2014-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Partially ordered set
Metric space
Asymptotically regular sequence
Mixed monotone property
n-Tupled fixed point
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13001259
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spelling doaj-0a9e554b56fd43d3a65b1dda79ba7b2f2020-11-25T02:44:01ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-10-0122344044510.1016/j.joems.2013.09.002Results on n-tupled fixed points in complete asymptotically regular metric spacesAnupam SharmaThe notion of n-tupled fixed point is introduced by Imdad, Soliman, Choudhury and Das, Jour. of Operators, Vol. 2013, Article ID 532867. In this manuscript, we prove some n-tupled fixed point theorems (for even n) for mappings having mixed monotone property in partially ordered complete asymptotically regular metric spaces. Our main theorem improves the corresponding results of Imdad, Sharma and Rao (M. Imdad, A. Sharma, K.P.R. Rao, Generalized n-tupled fixed point theorems for nonlinear contractions, preprint).http://www.sciencedirect.com/science/article/pii/S1110256X13001259Partially ordered setMetric spaceAsymptotically regular sequenceMixed monotone propertyn-Tupled fixed point
collection DOAJ
language English
format Article
sources DOAJ
author Anupam Sharma
spellingShingle Anupam Sharma
Results on n-tupled fixed points in complete asymptotically regular metric spaces
Journal of the Egyptian Mathematical Society
Partially ordered set
Metric space
Asymptotically regular sequence
Mixed monotone property
n-Tupled fixed point
author_facet Anupam Sharma
author_sort Anupam Sharma
title Results on n-tupled fixed points in complete asymptotically regular metric spaces
title_short Results on n-tupled fixed points in complete asymptotically regular metric spaces
title_full Results on n-tupled fixed points in complete asymptotically regular metric spaces
title_fullStr Results on n-tupled fixed points in complete asymptotically regular metric spaces
title_full_unstemmed Results on n-tupled fixed points in complete asymptotically regular metric spaces
title_sort results on n-tupled fixed points in complete asymptotically regular metric spaces
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 1110-256X
publishDate 2014-10-01
description The notion of n-tupled fixed point is introduced by Imdad, Soliman, Choudhury and Das, Jour. of Operators, Vol. 2013, Article ID 532867. In this manuscript, we prove some n-tupled fixed point theorems (for even n) for mappings having mixed monotone property in partially ordered complete asymptotically regular metric spaces. Our main theorem improves the corresponding results of Imdad, Sharma and Rao (M. Imdad, A. Sharma, K.P.R. Rao, Generalized n-tupled fixed point theorems for nonlinear contractions, preprint).
topic Partially ordered set
Metric space
Asymptotically regular sequence
Mixed monotone property
n-Tupled fixed point
url http://www.sciencedirect.com/science/article/pii/S1110256X13001259
work_keys_str_mv AT anupamsharma resultsonntupledfixedpointsincompleteasymptoticallyregularmetricspaces
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