Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)

In the present paper, we extend the concept of contraction in a new manner by introducing D-contraction defined on a family F of bounded functions. We also introduce a new notion of a fixed function on a metric space. Some fixed function theorems along with illustrative examples and application are...

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Main Authors:	Pooja Dhawan, Jatinderdeep Kaur, Vishal Gupta
Format:	Article
Language:	English
Published:	Estonian Academy Publishers 2019-03-01
Series:	Proceedings of the Estonian Academy of Sciences
Subjects:	fixed function complete metric space D-contraction α – ѱ contractive mapping.
Online Access:	http://www.kirj.ee/public/proceedings_pdf/2019/issue_3/proc-2019-3-223-234.pdf

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spelling	doaj-4b6166d2e710443091403f58798627d72020-11-24T21:48:59ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302019-03-0168322323410.3176/proc.2019.3.0110.3176/proc.2019.3.01Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)Pooja Dhawan0Jatinderdeep Kaur1Vishal Gupta2School of Mathematics, Thapar Institute of Engineering and Technology, Patiala (Punjab)-147004, IndiaSchool of Mathematics, Thapar Institute of Engineering and Technology, Patiala (Punjab)-147004, IndiaDepartment of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana-133207, India; Corresponding author, vishal.gmn@gmail.comIn the present paper, we extend the concept of contraction in a new manner by introducing D-contraction defined on a family F of bounded functions. We also introduce a new notion of a fixed function on a metric space. Some fixed function theorems along with illustrative examples and application are also given to verify the effectiveness of our results.http://www.kirj.ee/public/proceedings_pdf/2019/issue_3/proc-2019-3-223-234.pdffixed functioncomplete metric spaceD-contractionα – ѱ contractive mapping.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pooja Dhawan Jatinderdeep Kaur Vishal Gupta
spellingShingle	Pooja Dhawan Jatinderdeep Kaur Vishal Gupta Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT) Proceedings of the Estonian Academy of Sciences fixed function complete metric space D-contraction α – ѱ contractive mapping.
author_facet	Pooja Dhawan Jatinderdeep Kaur Vishal Gupta
author_sort	Pooja Dhawan
title	Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)
title_short	Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)
title_full	Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)
title_fullStr	Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)
title_full_unstemmed	Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)
title_sort	novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (imrt)
publisher	Estonian Academy Publishers
series	Proceedings of the Estonian Academy of Sciences
issn	1736-6046 1736-7530
publishDate	2019-03-01
description	In the present paper, we extend the concept of contraction in a new manner by introducing D-contraction defined on a family F of bounded functions. We also introduce a new notion of a fixed function on a metric space. Some fixed function theorems along with illustrative examples and application are also given to verify the effectiveness of our results.
topic	fixed function complete metric space D-contraction α – ѱ contractive mapping.
url	http://www.kirj.ee/public/proceedings_pdf/2019/issue_3/proc-2019-3-223-234.pdf
work_keys_str_mv	AT poojadhawan novelresultsonafixedfunctionandtheirapplicationbasedonthebestapproximationofthetreatmentplanfortumourpatientsgettingintensitymodulatedradiationtherapyimrt AT jatinderdeepkaur novelresultsonafixedfunctionandtheirapplicationbasedonthebestapproximationofthetreatmentplanfortumourpatientsgettingintensitymodulatedradiationtherapyimrt AT vishalgupta novelresultsonafixedfunctionandtheirapplicationbasedonthebestapproximationofthetreatmentplanfortumourpatientsgettingintensitymodulatedradiationtherapyimrt
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Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated radiation therapy (IMRT)

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