A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results
A picture fuzzy n-normed linear space (NPF), a mixture of a picture fuzzy set and an n-normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems. The purpose of this manuscript is to present some novel contractive conditions based on NPF. By using these...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6305856 |
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| _version_ | 1832550349082198016 |
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| author | Awais Asif Hassen Aydi Muhammad Arshad Zeeshan Ali |
| author_facet | Awais Asif Hassen Aydi Muhammad Arshad Zeeshan Ali |
| author_sort | Awais Asif |
| collection | DOAJ |
| description | A picture fuzzy n-normed linear space (NPF), a mixture of a picture fuzzy set and an n-normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems. The purpose of this manuscript is to present some novel contractive conditions based on NPF. By using these contractive conditions, we explore some fixed point theorems in a picture fuzzy n-Banach space (BPF). The discussed modified results are more general than those in the existing literature which are based on an intuitionistic fuzzy n-Banach space (BIF) and a fuzzy n-Banach space. To express the reliability and effectiveness of the main results, we present several examples to support our main theorems. |
| format | Article |
| id | doaj-art-4a21a44d6e384b0b9125093a2818c7b6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4a21a44d6e384b0b9125093a2818c7b62025-02-03T06:06:54ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/63058566305856A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point ResultsAwais Asif0Hassen Aydi1Muhammad Arshad2Zeeshan Ali3Department of Math & Stats, International Islamic University Islamabad, PakistanNonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Math & Stats, International Islamic University Islamabad, PakistanDepartment of Math & Stats, International Islamic University Islamabad, PakistanA picture fuzzy n-normed linear space (NPF), a mixture of a picture fuzzy set and an n-normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems. The purpose of this manuscript is to present some novel contractive conditions based on NPF. By using these contractive conditions, we explore some fixed point theorems in a picture fuzzy n-Banach space (BPF). The discussed modified results are more general than those in the existing literature which are based on an intuitionistic fuzzy n-Banach space (BIF) and a fuzzy n-Banach space. To express the reliability and effectiveness of the main results, we present several examples to support our main theorems.http://dx.doi.org/10.1155/2020/6305856 |
| spellingShingle | Awais Asif Hassen Aydi Muhammad Arshad Zeeshan Ali A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results Journal of Function Spaces |
| title | A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results |
| title_full | A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results |
| title_fullStr | A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results |
| title_full_unstemmed | A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results |
| title_short | A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results |
| title_sort | novel picture fuzzy n banach space with some new contractive conditions and their fixed point results |
| url | http://dx.doi.org/10.1155/2020/6305856 |
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