Neutrosophic Soft Fixed Points
. In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the...
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doaj-70d4c842ffb4424884d052eb61c4d3222020-11-25T03:12:33ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-07-013553154610.5281/zenodo.3951720Neutrosophic Soft Fixed PointsMadad Khan 0Muhammad Zeeshan 1Saima Anis 2Abdul Sami Awan 3Florentin Smarandache 4Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus PakistanDepartment of Mathematics and Sciences, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA. In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniqueness of common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results of the FP, coincidence point (CP) contribute conditions under which maps have solutions. The aim of this paper is to explore these conditions (mappings) used to obtain the FP, CP and CFP of a neutrosophic soft set. We study some of these mappings (conditions) such as contraction map, L-lipschitz map, non-expansive map, compatible map, commuting map, weakly commuting map, increasing map, dominating map, dominated map of a neutrosophic soft set. Moreover we introduce some new points like a coincidence point, common fixed point and periodic point of neutrosophic soft mapping. We establish some basic results, particular examples on these mappings and points. In these results we show the link between FP and CP. Moreover we show the importance of mappings for obtaining the FP, CP and CFP of neutrosophic soft mapping. http://fs.unm.edu/NSS/NeutrosophicSoft31.pdfneutrosophic setfuzzy neutrosophic soft mappingfixed pointcoincidence point. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Madad Khan Muhammad Zeeshan Saima Anis Abdul Sami Awan Florentin Smarandache |
spellingShingle |
Madad Khan Muhammad Zeeshan Saima Anis Abdul Sami Awan Florentin Smarandache Neutrosophic Soft Fixed Points Neutrosophic Sets and Systems neutrosophic set fuzzy neutrosophic soft mapping fixed point coincidence point. |
author_facet |
Madad Khan Muhammad Zeeshan Saima Anis Abdul Sami Awan Florentin Smarandache |
author_sort |
Madad Khan |
title |
Neutrosophic Soft Fixed Points |
title_short |
Neutrosophic Soft Fixed Points |
title_full |
Neutrosophic Soft Fixed Points |
title_fullStr |
Neutrosophic Soft Fixed Points |
title_full_unstemmed |
Neutrosophic Soft Fixed Points |
title_sort |
neutrosophic soft fixed points |
publisher |
University of New Mexico |
series |
Neutrosophic Sets and Systems |
issn |
2331-6055 2331-608X |
publishDate |
2020-07-01 |
description |
. In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence
of a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniqueness
of common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results of
the FP, coincidence point (CP) contribute conditions under which maps have solutions. The aim of this paper
is to explore these conditions (mappings) used to obtain the FP, CP and CFP of a neutrosophic soft set. We study
some of these mappings (conditions) such as contraction map, L-lipschitz map, non-expansive map, compatible
map, commuting map, weakly commuting map, increasing map, dominating map, dominated map of a neutrosophic soft set. Moreover we introduce some new points like a coincidence point, common fixed point and
periodic point of neutrosophic soft mapping. We establish some basic results, particular examples on these
mappings and points. In these results we show the link between FP and CP. Moreover we show the importance
of mappings for obtaining the FP, CP and CFP of neutrosophic soft mapping.
|
topic |
neutrosophic set fuzzy neutrosophic soft mapping fixed point coincidence point. |
url |
http://fs.unm.edu/NSS/NeutrosophicSoft31.pdf |
work_keys_str_mv |
AT madadkhan neutrosophicsoftfixedpoints AT muhammadzeeshan neutrosophicsoftfixedpoints AT saimaanis neutrosophicsoftfixedpoints AT abdulsamiawan neutrosophicsoftfixedpoints AT florentinsmarandache neutrosophicsoftfixedpoints |
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