Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space

The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approxim...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Raghad I. Sabri [verfasserIn] Buthainah A. A. Ahmed [verfasserIn]

Format:	E-Artikel
Sprache:	Arabisch ; Englisch

Erschienen:	2023

Schlagwörter:	Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive

Übergeordnetes Werk:	In: Baghdad Science Journal - College of Science for Women, University of Baghdad, 2017, 20(2023), 5
Übergeordnetes Werk:	volume:20 ; year:2023 ; number:5

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.21123/bsj.2023.7509

Katalog-ID:	DOAJ09182379X

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spelling	10.21123/bsj.2023.7509 doi (DE-627)DOAJ09182379X (DE-599)DOAJe360e62551ac4edaa2c8a21be89bab72 DE-627 ger DE-627 rakwb ara eng Raghad I. Sabri verfasserin aut Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced. After that, the best proximity point theorem for such type of mapping in a fuzzy normed space is state and prove. In addition, the idea of α ̃–ϕ ̃-proximal contractive mapping is presented in a fuzzy normed space and under specific conditions, the best proximity point theorem for such type of mappings is proved. Furthermore, some examples are offered to show the results' usefulness. Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive Science Q Buthainah A. A. Ahmed verfasserin aut In Baghdad Science Journal College of Science for Women, University of Baghdad, 2017 20(2023), 5 (DE-627)756826632 (DE-600)2727652-1 24117986 nnns volume:20 year:2023 number:5 https://doi.org/10.21123/bsj.2023.7509 kostenfrei https://doaj.org/article/e360e62551ac4edaa2c8a21be89bab72 kostenfrei https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7509 kostenfrei https://doaj.org/toc/2078-8665 Journal toc kostenfrei https://doaj.org/toc/2411-7986 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2023 5
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allfieldsSound	10.21123/bsj.2023.7509 doi (DE-627)DOAJ09182379X (DE-599)DOAJe360e62551ac4edaa2c8a21be89bab72 DE-627 ger DE-627 rakwb ara eng Raghad I. Sabri verfasserin aut Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced. After that, the best proximity point theorem for such type of mapping in a fuzzy normed space is state and prove. In addition, the idea of α ̃–ϕ ̃-proximal contractive mapping is presented in a fuzzy normed space and under specific conditions, the best proximity point theorem for such type of mappings is proved. Furthermore, some examples are offered to show the results' usefulness. Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive Science Q Buthainah A. A. Ahmed verfasserin aut In Baghdad Science Journal College of Science for Women, University of Baghdad, 2017 20(2023), 5 (DE-627)756826632 (DE-600)2727652-1 24117986 nnns volume:20 year:2023 number:5 https://doi.org/10.21123/bsj.2023.7509 kostenfrei https://doaj.org/article/e360e62551ac4edaa2c8a21be89bab72 kostenfrei https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7509 kostenfrei https://doaj.org/toc/2078-8665 Journal toc kostenfrei https://doaj.org/toc/2411-7986 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2023 5
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author	Raghad I. Sabri
spellingShingle	Raghad I. Sabri misc Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive misc Science misc Q Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
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topic_title	Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive
topic	misc Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive misc Science misc Q
topic_unstemmed	misc Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive misc Science misc Q
topic_browse	misc Best proximity point, Fuzzy normed space, α ̃- Proximal admissible mapping, α ̃–ψ ̃-Proximal contractive mapping, α ̃–ϕ ̃-Proximal contractive misc Science misc Q
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title	Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
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title_full	Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
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title_sort	best proximity point theorem for α ̃–ψ ̃-contractive type mapping in fuzzy normed space
title_auth	Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
abstract	The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced. After that, the best proximity point theorem for such type of mapping in a fuzzy normed space is state and prove. In addition, the idea of α ̃–ϕ ̃-proximal contractive mapping is presented in a fuzzy normed space and under specific conditions, the best proximity point theorem for such type of mappings is proved. Furthermore, some examples are offered to show the results' usefulness.
abstractGer	The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced. After that, the best proximity point theorem for such type of mapping in a fuzzy normed space is state and prove. In addition, the idea of α ̃–ϕ ̃-proximal contractive mapping is presented in a fuzzy normed space and under specific conditions, the best proximity point theorem for such type of mappings is proved. Furthermore, some examples are offered to show the results' usefulness.
abstract_unstemmed	The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced. After that, the best proximity point theorem for such type of mapping in a fuzzy normed space is state and prove. In addition, the idea of α ̃–ϕ ̃-proximal contractive mapping is presented in a fuzzy normed space and under specific conditions, the best proximity point theorem for such type of mappings is proved. Furthermore, some examples are offered to show the results' usefulness.
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title_short	Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
url	https://doi.org/10.21123/bsj.2023.7509 https://doaj.org/article/e360e62551ac4edaa2c8a21be89bab72 https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/7509 https://doaj.org/toc/2078-8665 https://doaj.org/toc/2411-7986
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Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space

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